Redistricting Transparency Act of 2013 - Requires states to carry out congressional redistricting in accordance with a process under which members of the public are informed of redistricting proposals via the Internet and have the opportunity to participate in the development of such proposals prior to their adoption.

Requires each state redistricting entity to establish and maintain a public Internet site meeting specified requirements.

Requires the state redistricting entity to: (1) solicit the input of members of the public in its work to develop initial congressional redistricting plans for the state; and (2) post the proposed final plan on the Internet site at least 10 days before its adoption, as well as no later than 7 days after its adoption, together with a map, the reasons for adoption, dissenting opinions, and certain other information.