An experimental investigation of the level structure of 133Te was performed by spectroscopy of gamma-rays following the beta-decay of 2.7 min 133Sb. Multiscaled gamma-ray singles spectra and 2.5 x 107 gamma-gamma coincidence events were used in the assignment of 105 of the approximately 400 observed gamma-rays to 133Sb decay and in the construction of the 133Te level scheme with 29 excited levels. One hundred twenty-two gamma-rays were identified as originating in the decay of other isotopes of Sb or their daughter products. The remaining gamma-rays were associated with the decay of impurity atoms or have as yet not been identified. A new computer program based on the Lanczos tridiagonalization algorithm using an uncoupled m-scheme basis and vector manipulations was written. It was used to calculate energy levels, parities, spins, model wavefunctions, neutron and proton separation energies, and some electromagnetic transition probabilities for the following nuclei in the 132Sn region: 128Sn, 129Sn, 13°Sn, 131Sn, 13°Sb, 131Sb, 132Sb, 133Sb, 132Te, 133Te, 134Te, 134I, 135I, 135Xe, and 136Xe. The results are compared with experiment and the agreement is generally good. For non-magic nuclei: the lg--2, 2d52, 2d32, 1h112, and 3s12 orbitals are available to valence protons and the 2d52, 2d32, 1h112, and 3s12 orbitals are available to valence neutron holes. The present CDC7600 computer code can accommodate 59 single particle states and vectors comprised of 30,000 Slater determinants. The effective interaction used was that of Petrovich, McManus, and Madsen, a modification of the Kallio-Kolltveit realistic force. Single particle energies, effective charges and effective g-factors were determined from experimental data for nuclei in the 132Sn region. 116 references.