113004253200 has 240 divisors, whose sum is σ = 383055768576. Its totient is φ = 28417804800.

The previous prime is 113004253199. The next prime is 113004253249. The reversal of 113004253200 is 2352400311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×113004253200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930767 + ... + 1988433.

Almost surely, 2^113004253200 is an apocalyptic number.

113004253200 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 113004253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191527884288).

113004253200 is an abundant number, since it is smaller than the sum of its proper divisors (270051515376).

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

113004253200 is a wasteful number, since it uses less digits than its factorization.

113004253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57782 (or 57771 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 113004253200 its reverse (2352400311), we get a palindrome (115356653511).

The spelling of 113004253200 in words is "one hundred thirteen billion, four million, two hundred fifty-three thousand, two hundred".