13116

13116 is a natural number that lies between 13115 and 13117. In base-10 notation, it is even, and the sum of its digits is 12, making it divisible by 3. Its prime factorization is 13116 = 2^2 × 3 × 1093, which means it has 12 divisors in total. Because it is divisible by the sum of its digits (12), 13116 is also classified as a Harshad (or Niven) number in base 10.

In number theory, the prime factor 1093 is notable for standing in the context of Wieferich primes. Specifically, 1093 is one of the known base-2 Wieferich primes, a rare type of prime p for which 2^(p−1) ≡ 1 (mod p^2). The factorization 13116 = 12 × 1093 thus connects the composite number to this unusual prime. This link highlights how a relatively ordinary number can incorporate elements of deep arithmetic significance.

As a general numerical label, 13116 does not correspond to a widely recognized year, event, or object in common reference sources. In practice, it can appear as an identifier in catalogs, serial numbers, part numbers, or postal/coding systems where five-digit or similar numeric codes are used. If a specific domain or context is provided, a more targeted discussion of 13116 can be offered.