Securing Access to Rural Postal Services Act of 2013 - Prohibits the U.S. Postal Service (USPS), in any calendar year, from closing, consolidating, or suspending the operations of more than 5% of the postal facilities operating as of the first day of such calendar year and that were within specified cost ascertainment groupings as of June 23, 2011, except as specifically authorized by law.
Defines "postal facility" as a post office, post office branch, post office classified station, or other facility operated by the USPS, the primary function of which is to provide retail postal services.
Requires the USPS to conduct nonbinding surveys on proposed post office closings or consolidations to allow customers an opportunity to indicate their preference between or among such a closing or consolidation and one or more alternative options. Directs the USPS, if such a closure or consolidation is necessary, to provide access to postal services through the alternative preferred by survey participants and, if the preferred alternative is unable to be provided or is cost prohibitive, permits the USPS to provide alternative access through different means and requires the USPS to notify customers with a written explanation.