Abstinence Education Reallocation Act of 2013 - Authorizes the Administrator of the Health Resources and Services Administration (HRSA) to award grants for qualified sexual risk avoidance education to youth and their parents. Requires such education to meet certain criteria, including: (1) being age-appropriate, medically accurate, and evidence-based; (2) teaching the skills and benefits of sexual abstinence as the optimal sexual health behavior for youth; and (3) teaching the benefits of refraining from nonmarital sexual activity, the advantage of reserving sexual activity for marriage, and the foundational components of a healthy relationship.

Gives priority to programs that serve youth ages 12 to 19 and that will promote the protective benefits of parent-child communication regarding healthy sexual decisionmaking.