113037410304 has 756 divisors, whose sum is σ = 419468645736. Its totient is φ = 29812064256.

The previous prime is 113037410303. The next prime is 113037410333. The reversal of 113037410304 is 403014730311.

113037410304 is a `hidden beast` number, since 11 + 303 + 7 + 41 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×113037410304² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113037410303) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8695185402 + ... + 8695185414.

It is an arithmetic number, because the mean of its divisors is an integer number (554852706).

Almost surely, 2^113037410304 is an apocalyptic number.

113037410304 is a gapful number since it is divisible by the number (14) 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 113037410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209734322868).

113037410304 is an abundant number, since it is smaller than the sum of its proper divisors (306431235432).

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

113037410304 is an frugal number, since it uses more digits than its factorization.

113037410304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 113037410304 in words is "one hundred thirteen billion, thirty-seven million, four hundred ten thousand, three hundred four".