Functional Gastrointestinal and Motility Disorders Research Enhancement Act of 2013 - Amends the Public Health Service Act to require the Director of the National Institutes of Health (NIH) to expand, intensify, and coordinate NIH activities with respect to functional gastrointestinal and motility disorders (FGIMDs), including by: (1) expanding basic and clinical research into FGIMDs by implementing the research recommendations of the National Commission on Digestive Diseases, (2) providing support for the establishment of centers of excellence on FGIMDs, (3) directing the National Institute of Diabetes and Digestive and Kidney Diseases to provide the necessary funding for the continued expansion and advancement of the FGIMDs research portfolio through intramural and extramural research, and (4) directing such Institute and the Eunice Kennedy Shriver National Institute of Child Health and Human Development to expand research into FGIMDs that impact children.

Authorizes the Secretary of Health and Human Services (HHS) to engage in public awareness and education activities to increase understanding and recognition of FGIMDs.