113321264400 has 90 divisors (see below), whose sum is σ = 393256278090. Its totient is φ = 30219002880.

The previous prime is 113321264383. The next prime is 113321264473. The reversal of 113321264400 is 4462123311.

It is a happy number.

113321264400 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 12 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 876396816 + 112444867584 = 29604^2 + 335328^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15735465 + ... + 15742664.

It is an arithmetic number, because the mean of its divisors is an integer number (4369514201).

Almost surely, 2^113321264400 is an apocalyptic number.

113321264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113321264400 is an abundant number, since it is smaller than the sum of its proper divisors (279935013690).

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

113321264400 is a wasteful number, since it uses less digits than its factorization.

113321264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31478153 (or 31478139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113321264400 its reverse (4462123311), we get a palindrome (117783387711).

The spelling of 113321264400 in words is "one hundred thirteen billion, three hundred twenty-one million, two hundred sixty-four thousand, four hundred".