113130259200 has 1296 divisors, whose sum is σ = 499288043520. Its totient is φ = 24966144000.

The previous prime is 113130259157. The next prime is 113130259217. The reversal of 113130259200 is 2952031311.

113130259200 is a `hidden beast` number, since 11 + 31 + 30 + 2 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 262482985 + ... + 262483415.

It is an arithmetic number, because the mean of its divisors is an integer number (385253120).

Almost surely, 2^113130259200 is an apocalyptic number.

113130259200 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 113130259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249644021760).

113130259200 is an abundant number, since it is smaller than the sum of its proper divisors (386157784320).

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

113130259200 is a wasteful number, since it uses less digits than its factorization.

113130259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 113130259200 in words is "one hundred thirteen billion, one hundred thirty million, two hundred fifty-nine thousand, two hundred".