Transport and specific heat measurements are reported on a new sample of UBe13. Special focuses are given on the zero field specific heat : at low temperature (T < 150 mK) where the impurity scattering dominates, at intermediate temperature where a quasi T3 law characteristic of an axial state is obeyed and near the critical temperature where critical fluctuations are observed. Correlations are made with magnetoresistivity and thermal conductivity experiments. © 1988.