  Motivated by recent measurements of a relatively large \theta_{13} in the
Daya Bay and RENO reactor neutrino experiments, we carry out a systematic
analysis of the hybrid textures of Majorana neutrino mass matrix $M_\nu$, which
contain one texture zero and two equal nonzero matrix elements. We show that
three neutrino masses (m_1, m_2, m_3) and three leptonic CP-violating phases
(\delta, \rho, \sigma) can fully be determined from two neutrino mass-squared
differences (\delta m^2, \Delta m^2) and three flavor mixing angles
(\theta_{12}, \theta_{23}, \theta_{13}). Out of sixty logically possible
patterns of $M_\nu$, thirty-nine are found to be compatible with current
experimental data at the 3\sigma level. We demonstrate that the texture zero of
$M_\nu$ is stable against one-loop quantum corrections, while the equality
between two independent elements not. Phenomenological implications of $M_\nu$
for the neutrinoless double-beta decay and leptonic CP violation are discussed,
and a realization of the texture zero and equality by means of discrete flavor
symmetries is illustrated.
