  We consider the SU(3)_C \otimes SU(3)_L \otimes U(1)_X \otimes U(1)_N
(3-3-1-1) model at the GUT scale with implication for inflation and
leptogenesis. The mass spectra of the neutral Higgs bosons and neutral gauge
bosons are reconsidered when the scale of the 3-3-1-1 breaking is much larger
than that of the ordinary SU(3)_C \otimes SU(3)_L \otimes U(1)_X (3-3-1)
breaking. We investigate how the 3-3-1-1 model generates an inflation by
identifying the scalar field that spontaneously breaks the U(1)_N symmetry to
inflaton as well as including radiative corrections for the inflaton potential.
We figure out the parameter spaces appeared in the inflaton potential that
satisfy the conditions for an inflation model and obtain the inflaton mass an
order of 10^{13} GeV. The inflaton can dominantly decay into a pair of light
Higgs bosons or a pair of heavy Majorana neutrinos which lead, respectively, to
a reheating temperature of 10^9 GeV order appropriate to a thermal leptogenesis
scenario or to a reduced reheating temperature corresponding to a non-thermal
leptogenesis scenario. We calculate the lepton asymmetry which yields baryon
asymmetry successfully for both the thermal and non-thermal cases.
