Single-crystal X-ray diffraction experiments show that the Be atoms in CeBe13 form a Be12 icosahedra, which is a very unusual structural feature due, in part, to the remarkably low valence electron count of Be. Magnetization studies show that CeBe13 displays intermediate valence behavior, in which valence fluctuations between the Ce 4f0 and 4f states give rise to enhanced electronic specific heat and magnetic susceptibility. Calculations using ab initio theory were used to determine the electronic structure and bonding and to give insight into the relationship between the crystal structure, the bonding, and the intermediate valence behavior of CeBe13. The hybridization between the localized f electrons and the conduction electrons is responsible for the large values of the electronic specific heat coefficient (γ ≈ 100 mJ/mol K) and magnetic susceptibility (χ ≈ 1 × 10-3 emu/mol), which is in marked contrast to those of ordinary metals that have γ ≈ 1 mJ/mol K2 and χ ≈ 1 × 10-5 emu/mol values. The magnetic susceptibility, χ = M/H versus T, of a single crystal of CeBe13 exhibits a broad maximum at T
max ≈ 130 K and is typical of intermediate valence systems with an unusually large energy scale (Kondo), T
K ≈ 500 K.