113131132400 has 120 divisors (see below), whose sum is σ = 319314760464. Its totient is φ = 37974067200.

The previous prime is 113131132349. The next prime is 113131132403. The reversal of 113131132400 is 4231131311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131132403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931709 + ... + 1046108.

Almost surely, 2^113131132400 is an apocalyptic number.

113131132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113131132400 is an abundant number, since it is smaller than the sum of its proper divisors (206183628064).

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

113131132400 is a wasteful number, since it uses less digits than its factorization.

113131132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977859 (or 1977848 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113131132400 its reverse (4231131311), we get a palindrome (117362263711).

The spelling of 113131132400 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred".