113031104200400 has 120 divisors (see below), whose sum is σ = 283378658480064. Its totient is φ = 43244455936000.

The previous prime is 113031104200397. The next prime is 113031104200471. The reversal of 113031104200400 is 4002401130311.

113031104200400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 184162832 + ... + 184775568.

Almost surely, 2^{113031104200400} is an apocalyptic number.

113031104200400 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 113031104200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141689329240032).

113031104200400 is an abundant number, since it is smaller than the sum of its proper divisors (170347554279664).

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

113031104200400 is a wasteful number, since it uses less digits than its factorization.

113031104200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632829 (or 632818 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113031104200400 its reverse (4002401130311), we get a palindrome (117033505330711).

The spelling of 113031104200400 in words is "one hundred thirteen trillion, thirty-one billion, one hundred four million, two hundred thousand, four hundred".