113130597888 has 960 divisors, whose sum is σ = 432547315200. Its totient is φ = 29262643200.

The previous prime is 113130597887. The next prime is 113130597911. The reversal of 113130597888 is 888795031311.

It is a happy number.

113130597888 is a `hidden beast` number, since 1 + 13 + 1 + 30 + 597 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130597887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469421448 + ... + 469421688.

It is an arithmetic number, because the mean of its divisors is an integer number (450570120).

Almost surely, 2^113130597888 is an apocalyptic number.

113130597888 is a gapful number since it is divisible by the number (18) 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 113130597888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216273657600).

113130597888 is an abundant number, since it is smaller than the sum of its proper divisors (319416717312).

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

113130597888 is an frugal number, since it uses more digits than its factorization.

113130597888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 113130597888 in words is "one hundred thirteen billion, one hundred thirty million, five hundred ninety-seven thousand, eight hundred eighty-eight".