Redistricting and Voter Protection Act of 2013 - Requires a state that enacts a congressional redistricting plan prior to the next decennial census and apportionment of Representatives to obtain a declaratory judgment or preclearance from the Attorney General that such plan does not have the purpose or effect of denying or abridging the right to vote on account of race or color or in contravention of the guarantees of the Voting Rights Act of 1965.