Strengthening Medicare Anti-Fraud Measures Act of 2013 - Amends title XI of the Social Security Act to authorize the Secretary of Health and Human Services (HHS) to exclude from participation in any federal health care program entities affiliated with a sanctioned entity, as well as any officer or managing employee of an affiliated entity (currently, only individuals with an ownership or control interest in a sanctioned entity), if the affiliated entity was so affiliated at the time of any of the conduct forming the basis for the conviction or exclusion of the sanctioned entity.