Empowering Encore Entrepreneurs Act of 2013 - Directs the Administrator of the Small Business Administration (SBA) to establish a program under which the Administrator may enter into contracts or cooperative agreements with, or make grants to, nonprofit organizations to provide technical assistance, mentoring, and other specialized training activities for encore entrepreneurs.

Defines "encore entrepreneur" to mean an entrepreneur, business person, or owner of a small business concern who: (1) is seeking to start a new small business concern or expand an existing one, and (2) is at least age 50 or has at least 20 years of experience in a workplace.

Directs the Administrator to give special consideration to applications seeking funding for programs for: (1) members of the Armed Forces impacted by base closures or realignment, or (2) encore entrepreneurs unemployed for a period of not less than one year.

Terminates the program on September 30, 2017.

Requires the Administrator to submit to specified congressional committees a report that describes the barriers and obstacles faced by encore entrepreneurs in starting new small business concerns or expanding existing small business concerns.