We report on measurements of the differential conductivity G of UBe13-Au co
ntacts, which reveal the existence of low-energy Andreev surface bound stat
es. These hound states are identified via huge conducranoe peaks at zero bi
as that may form only in superconductors with nontrivial energy-gap functio
ns. From the voltage dependence of G at T < T-c we also establish a lower l
imit of the normalized energy gap, such 2 Delta(0)/k(B)T(c) > 6.7, much in
excess of the weak coupling BCS value of 3.5, and directly indicating stron
g coupling effects in superconducting UBe13.