The commissioner shall exercise the powers and discharge the duties, concerning any such insurer, that are applicable to domestic insurers issuing policies of the same class. He or she shall issue a certificate of authority to transact the proper classes of insurance in this state to any such insurer which is solvent as to its reserve basis policies under Article 13 (commencing with Section 980) of Chapter 1 of Part 2 of Division 1, and has fully complied with the laws of this state.