Exhibit 13.1  Certification by the Chief Executive Officer Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002  In connection with the Annual Report on Form 20-F of Chunghwa Telecom Co., Ltd. (the “Company”) for the year ended  December 31, 2011 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Shyue-Ching  Lu, Chairman and Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to  Section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:  Date: April 20, 2012  By:  Name: Shyue-Ching Lu Title: Chairman and Chief Executive Officer (1) The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and  (2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of  operations of the Company.  PART III