113083238400 has 1152 divisors, whose sum is σ = 449251246080. Its totient is φ = 24772608000.

The previous prime is 113083238381. The next prime is 113083238449. The reversal of 113083238400 is 4832380311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890419137 + ... + 890419263.

It is an arithmetic number, because the mean of its divisors is an integer number (389975040).

Almost surely, 2^113083238400 is an apocalyptic number.

113083238400 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 113083238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224625623040).

113083238400 is an abundant number, since it is smaller than the sum of its proper divisors (336168007680).

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

113083238400 is a wasteful number, since it uses less digits than its factorization.

113083238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 113083238400 in words is "one hundred thirteen billion, eighty-three million, two hundred thirty-eight thousand, four hundred".