Energy Savings and Industrial Competitiveness Act of 2013

Amends the Energy Independence and Security Act of 2007 to: (1) replace references to the energy-intensive industries program with references to the future of industry program, and (2) reduce the amount authorized to be appropriated for the Zero Net Energy Commercial Buildings Initiative for FY2015-FY2018.

Requires the Administrator of the Small Business Administration (SBA) to expedite consideration of applications from eligible small businesses for loans under the Small Business Act to implement recommendations of industrial research and assessment centers.

Amends the Energy Policy and Conservation Act to require the Secretary: (1) as part of the Office of Energy Efficiency and Renewable Energy, to conduct on-site technical assessments at the request of a manufacturer to identify opportunities for maximizing the energy efficiency of industrial processes and cross-cutting systems, preventing pollution and minimizing waste, improving efficient use of water in manufacturing processes, and conserving natural resources; and (2) as part of DOE's industrial efficiency programs, to carry out an industry-government partnership program to research, develop, and demonstrate new sustainable manufacturing and industrial technologies and processes that maximize the energy efficiency of industrial systems, reduce pollution, and conserve natural resources.

Establishes within DOE a Supply Star program to identify and promote practices, recognize companies, and recognize products that use highly efficient supply chains that conserve energy, water, and other resources.

Directs the Secretary to establish a rebate program for expenditures for the purchase and installation of: (1) a new constant speed electric motor control that is attached to an electric motor and reduces motor energy use by at least 5%; and (2) commercial or industrial machinery or equipment that is manufactured and incorporates an advanced motor and drive system that has greater than one horsepower into a redesigned machine or equipment that did not previously make use of the system or was previously used and placed back into service in 2014 or 2015 that upgrades the existing machine or equipment with such system.

Directs the Secretary to establish a rebate program for expenditures made by owners of industrial or manufacturing facilities, commercial buildings, and multifamily residential buildings for the purchase and installation of new energy efficient transformers. Terminates the program on December 31, 2015.

Directs the Secretary to issue guidance for federal agencies to employ advanced tools promoting energy efficiency and energy savings through the use of information and communications technologies.

Authorizes the Administrator of the General Services Administration (GSA), for any building project for which congressional approval has been received and the design has been substantially completed, but the construction of which has not begun, to use appropriated funds to update the building's design to meet energy efficiency and other standards for new federal buildings.

Requires the Administrator for the Office of E-Government and Information Technology within the Office of Management and Budget (OMB) to develop and publish a goal for the total amount of planned energy and cost savings and increased productivity by the government through the consolidation of federal data centers during the next five years. Provides that such goal does not apply to the High Performance Computing Modernization Program of the Department of Defense (DOD).