Heated Carboplatin in Treating Patients With Stage II-IV Ovarian, Fallopian Tube, or Peritoneal Cancer

Inclusion Criteria: * Patients must have histologically or cytologically confirmed, known or highly suspected advanced (International Federation of Gynecology and Obstetrics \[FIGO\] stage II-IV) ovarian, primary peritoneal, or fallopian tube cancer, scheduled for primary or interval cytoreductive surgery * If the patient has received pre-operative neoadjuvant chemotherapy, evidence of response must be documented by at least one of the following: decline in serum carcinoma antigen (CA)125 level, at least a 30% decrease in the sum of the longest diameter of target lesions on radiographic imaging, or resolution of ascites or pleural effusion(s) * Women of all races and ethnic groups are eligible for this trial * Gynecologic Oncology Group (GOG) performance status =\< 2 * Leukocytes \>= 3,000/microliter (mcL) * Absolute neutrophil count \>= 1,500/mcL * Platelets \>= 100,000/mcL * Total bilirubin within normal institutional limits * Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase (SGOT))/alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase (SGPT)) =\< 2.5 x institutional upper limit of normal * Creatinine within normal institutional limits OR creatinine clearance \>= 60 mL/min/1.73 m\^2 for patients with creatinine levels above institutional normal * Albumin \>= 2.5 mg/dL * Patients for whom the diagnosis of high-grade serous or undifferentiated carcinoma of ovarian, peritoneal, or fallopian tubal origin is confirmed at surgery * Surgery achieves either no gross residual disease or optimal cytoreductive status defined as no single lesion measuring more than 1 cm in its greatest diameter (this protocol calls for the intentional delay in resection of up to 3 tumors per patient until the HIPEC procedure is complete; the surgeon will identify these tumors as easily resectable from a technical and safety aspect) * Patients must be stable from cardiopulmonary and hemodynamic standpoints to continue with prolonged surgery and anesthesia * Provision of written informed consent Exclusion Criteria: * Patients receiving neo-adjuvant chemotherapy whose disease has progressed following at least 3 cycles, defined by at least one of the following: clinical deterioration (new or worsening of existing ascites, carcinomatous ileus, malignant bowel obstruction, declining performance status), new lesion(s) or increase in maximal diameter of \> 20% of the two largest target lesions, rising CA-125 (an increase of at least 10% of baseline value that increases over 3 values obtained every 21 days) * Cardiac or pulmonary conditions that preclude aggressive cytoreductive surgery * Patients found to have non-gynecologic, uterine, or breast primary at surgery * Patients with gynecologic malignancy of low-grade serous or borderline histology * Patients with sub-optimal resection (any single tumor larger than 1 cm) * Patients with core body temperature \> 37 degrees Celsius (C) at completion of cytoreductive surgery and prior to HIPEC * Patients who are receiving other investigational therapeutic agents * Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements * Pregnant women are excluded from this study