The 13C + 13C total fusion cross section has been determined in the range 3.26 ≤ Ec.m. ≤ 8.0 MeV using Ge(Li) detector measurements of low-lying transitions in the residual nuclei and a statistical model calculation of excited state populations. Six different residual nuclei have been observed and their production yields are given. To constrain the parameters in fusion models for these reactions, we have also taken elastic scattering data at υc.m. = 60°, 70°, 80°, and 90° for 4.5 ≤ Ec.m. ≤ 8.5 MeV, as well as angular distributions at Ec.m. = 7 and 8 MeV. The relationship of low energy scattering and reaction cross sections among the carbon isotopes is discussed.