DISEASE CHARACTERISTICS:
Inclusion criteria:
* Must have a diagnosis of neuroblastoma by histologic verification and/or demonstration of tumor cells in the bone marrow with increased urinary catecholamines
* Must have high-risk neuroblastoma AND meets at least one of the following criteria:
* Recurrent or progressive disease at any time
* Biopsy not required, even if there is partial response to intervening therapy
* Refractory disease (i.e., less than a partial response to frontline therapy, including a minimum of 4 courses of chemotherapy)
* Biopsy not required
* If the patient has not had previous myeloablative therapy, preference will be given to NANT-2001-02 (iodine I 131 metaiodobenzylguanidine \[\^131I-MIBG\] + CEM)
* Persistent disease after at least a partial response to frontline therapy (i.e., patient still has residual disease by MIBG scan, CT/MRI scan, or bone marrow)
* Biopsy required (bone marrow biopsy included) of at least one residual site demonstrating viable neuroblastoma
* If the patient has not had previous myeloablative therapy, preference will be given to NANT-2001-02 (\^131I-MIBG + CEM)
* Must have evidence of MIBG uptake into tumor at ≥ 1 site within 4 weeks prior to study entry and subsequent to any intervening therapy
* Must have autologous hematopoietic stem cell product available and it must be free of tumor cell contamination (0 tumor cells /1,000,000 nucleated cells), cryopreserved, and available for re-infusion after \^131I-MIBG treatment, if immunocytology has been performed on the stem cell product
* If immunocytology has not been performed on the stem cell product, then bilateral bone marrow aspirates and biopsies must have been negative by morphology within 4 weeks before or after the stem cell collection
* If the patient had no bone marrow disease documented at diagnosis or at any time prior to peripheral blood stem cell (PBSC) harvest then the criteria for bilateral bone marrow aspirates/biopsies is waived
* The minimum dose is as follows:
* Purged PBSC 2.0 x 10\^6 viable CD34+ cells/kg
* Immuno-magnetically purged cells are permitted
* Unpurged PBSC 2 x 10\^6 CD34+ cells/kg (minimum is same for PBSC from identical twin)
* Cells from identical twins are permitted
* Other allogeneic cells are not allowed
* CD34+ selected cells are not permitted
PATIENT CHARACTERISTICS:
Inclusion criteria:
* Lansky or Karnofsky performance status ≥ 50%
* Life expectancy ≥ 6 weeks
* Hemoglobin ≥ 8 g/dL (transfusion allowed)
* ANC ≥ 750/μL (no hematopoietic growth factors within 7 days of starting irinotecan hydrochloride)
* Platelet count ≥ 50,000/μL (transfusion independent, defined as no platelet transfusion for 2 weeks)
* Glomerular filtration rate (GFR) or creatinine clearance ≥ 60 mL/min OR age-adjusted serum creatinine ≤ 1.5 x normal, according to the following:
* 0.8 mg/dL (≤ 5 years of age)
* 1.0 mg/dL (6 to 10 years of age)
* 1.2 mg/dL (11 to 15 years of age)
* 1.5 mg/dL (≥ 16 years of age)
* Total bilirubin ≤ 1.5 x normal for age
* ALT and AST \< 3 x normal for age
* All post-menarchal females must have a negative beta-HCG
* Males and females of reproductive age and childbearing potential must use effective contraception for the duration of study participation
* Ejection fraction ≥ 55% by echocardiogram or radionuclide MUGA OR fractional shortening ≥ 27% by echocardiogram
* Normal lung function
* Patients with other ongoing serious medical issues must be approved by the study chair prior to study registration
Exclusion criteria:
* Pregnancy or breast feeding
* Dyspnea at rest, exercise intolerance, pleural effusion, or oxygen requirement
* Disease of any major organ system that would compromise the patient's ability to withstand therapy
* Documented allergy to third generation cephalosporins
* Active diarrhea (defined as ≥ grade 2 per CTCAE v3)
* Active or uncontrolled infection, including C. difficile
* Patients on prolonged antifungal therapy are eligible if suspected radiographic lesions are culture and biopsy negative and patient meets other organ function criteria
* Patients and/or families who are physically and psychologically unable to cooperate with the radiation safety isolation
* Patient weight that would require exceeding a maximum total allowable dose of \^131I-MIBG (per institutional guidelines)
* Patients who, in the opinion of the investigator, may not be able to comply with the safety monitoring requirements of the study
PRIOR CONCURRENT THERAPY:
Inclusion criteria:
* Patients must have fully recovered from the acute toxic effects of all prior chemotherapy, immunotherapy, or radiotherapy before study entry
* At least 3 weeks since prior myelosuppressive or biologic therapy
* At least 2 weeks since prior radiation therapy
* Radiation therapy should not be given to the only site of measurable or evaluable disease
* At least 3 months since prior large field radiation therapy (i.e., craniospinal radiation therapy, total lung radiation therapy, or radiation therapy to \> 50% of marrow space)
* At least 3 months since prior autologous stem cell transplantation
* Must meet adequate bone marrow function postmyeloablative therapy
* At least 7 days since prior cytokines or hematopoietic growth factors
* Prior irinotecan hydrochloride and vincristine therapy allowed provided the patient recovered to adequate bone marrow function as specified in the protocol
Exclusion criteria:
* Prior \^131I-MIBG
* Prior external beam radiation therapy to the liver or kidneys
* Prior allogeneic stem cell transplantation
* Prior whole abdominal radiation therapy, total-body irradiation, or local radiation therapy that includes any of the following:
* 1,200 cGy to more than 33% of both kidneys (patient must have at least one kidney that has not exceeded the dose/volume of radiation listed)
* 1,800 cGy to more than 30% of liver and/or 900 cGy to more than 50% of liver
* Other concurrent cancer chemotherapy or immunomodulating agents (including steroids)
* Steroids may be used in the prevention and treatment of transfusion/infusion reactions and for the treatment of edema associated with CNS lesions
* Concurrent palliative radiotherapy to localized painful lesions
* Concurrent aprepitant (Emend)
* Concurrent ketoconazole or St. John's wort
* Medications that interfere with MIBG uptake during the week prior to or after MIBG therapy
* Concurrent enzyme-inducing anticonvulsants (e.g., phenobarbital, phenytoin, or carbamazepine)
* Nonenzyme-inducing anticonvulsants (e.g., Keppra) may be allowed
* Concurrent hemodialysis
* Any other concurrent anticancer agents or radiation therapy