OPT-821 With or Without Vaccine Therapy in Treating Patients With Ovarian Epithelial Cancer, Fallopian Tube Cancer, or Peritoneal Cancer in Second or Third Complete Remission

Inclusion Criteria:

* Patients with histologically documented epithelial carcinoma arising in the ovary, fallopian tube, or peritoneum, of any stage or grade at diagnosis; all patients must have had cytoreductive surgery and chemotherapy with at least one platinum-based chemotherapy regimen as part of primary treatment
* Patients who recurred on or after initial therapy, and are now in a second or third complete clinical remission and who are within four months of their last treatment are eligible; complete clinical remission is defined as serum cancer antigen (CA)-125 within institutional normal limits, negative physical examination, and no definite evidence of disease by computed tomography (CT) of the abdomen and pelvis; lymph nodes and/or soft tissue abnormalities =\< 1.0 cm are often present in the pelvis and will not be considered definite evidence of disease; eligibility is determined by anatomical imaging only (ie. magnetic resonance imaging \[MRI\] or CT); a positive positron emission tomography (PET) image (if performed) will not exclude a patient if other criteria are met and anatomical imaging is negative
* Absolute neutrophil count (ANC) greater than or equal to 1,000/mm\^3, equivalent to Common Toxicity Criteria for Adverse Events (CTCAE version \[v\]4.0) grade 1
* Platelets greater than or equal to 100,000/mm\^3
* Serum creatinine less than or equal to 1.5 x institutional upper limit normal (ULN), CTCAE v4.0 grade 1
* Bilirubin less than or equal to 2.5 x ULN
* Serum glutamic oxaloacetic transaminase (SGOT), serum glutamate pyruvate transaminse (SGPT) less than or equal to 2.5 x ULN
* Alkaline phosphatase less than or equal to 2.5 x ULN
* Patients must have a Gynecological Oncology Group (GOG) performance status of 0, 1, or 2
* Patients who have signed the informed consent document and signed the authorization permitting release of personal health information
* Patients of childbearing potential must have a negative serum pregnancy test prior to study entry and must be practicing an effective form of birth control; nursing mothers are excluded

Exclusion Criteria:

* With the exception of non-melanoma skin cancer, patients with other invasive malignancies who had (or have) any evidence of the other cancer present within the last 5 years or whose previous cancer treatment contraindicates this protocol therapy are excluded
* Patients whose circumstances at the time of entry onto the protocol would not permit completion of study or required follow up
* Patients who have an allergy to shellfish