Involved in biosynthesis of di-myo-inositol phosphate (DIP), a widespread organic solute in microorganisms adapted to hot environments. Catalyzes the condensation of CTP and L-myo-inositol-1-phosphate into CDP-L-myo-inositol, as well as the biosynthesis of di-myo-inositol-1,3'-phosphate-1'-phosphate (DIPP) from CDP-L-myo-inositol and L-myo-inositol-1-phosphate. 1D-myo-inositol 3-phosphate + CTP + H(+) = CDP-1L-myo-inositol + diphosphate 1D-myo-inositol 3-phosphate + CDP-1L-myo-inositol = bis(1L-myo-inositol) 3,1'-phosphate 1-phosphate + CMP + H(+) In the N-terminal section; belongs to the MobA family. In the C-terminal section; belongs to the CDP-alcohol phosphatidyltransferase class-I family.