13113332400 has 120 divisors (see below), whose sum is σ = 48007316224. Its totient is φ = 2997331200.

The previous prime is 13113332399. The next prime is 13113332459. The reversal of 13113332400 is 423331131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 772156 + ... + 788955.

Almost surely, 2^13113332400 is an apocalyptic number.

13113332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113332400 is an abundant number, since it is smaller than the sum of its proper divisors (34893983824).

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

13113332400 is a wasteful number, since it uses less digits than its factorization.

13113332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561139 (or 1561128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13113332400 its reverse (423331131), we get a palindrome (13536663531).

The spelling of 13113332400 in words is "thirteen billion, one hundred thirteen million, three hundred thirty-two thousand, four hundred".