13116900 has 72 divisors (see below), whose sum is σ = 39622464. Its totient is φ = 3344000.

The previous prime is 13116853. The next prime is 13116919. The reversal of 13116900 is 961131.

It is a happy number.

It is a super-2 number, since 2×13116900² = 344106131220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5950 + ... + 7850.

It is an arithmetic number, because the mean of its divisors is an integer number (550312).

Almost surely, 2^13116900 is an apocalyptic number.

13116900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13116900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19811232).

13116900 is an abundant number, since it is smaller than the sum of its proper divisors (26505564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13116900 is a wasteful number, since it uses less digits than its factorization.

13116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 13116900 is about 3621.7261078110. The cubic root of 13116900 is about 235.8361641778.

The spelling of 13116900 in words is "thirteen million, one hundred sixteen thousand, nine hundred".