113012008704 has 360 divisors, whose sum is σ = 388912043520. Its totient is φ = 31971428352.

The previous prime is 113012008699. The next prime is 113012008709. The reversal of 113012008704 is 407800210311.

It is an interprime number because it is at equal distance from previous prime (113012008699) and next prime (113012008709).

It is a super-2 number, since 2×113012008704² (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 (113012008709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14946877 + ... + 14954435.

It is an arithmetic number, because the mean of its divisors is an integer number (1080311232).

Almost surely, 2^113012008704 is an apocalyptic number.

113012008704 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 113012008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194456021760).

113012008704 is an abundant number, since it is smaller than the sum of its proper divisors (275900034816).

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

113012008704 is an equidigital number, since it uses as much as digits as its factorization.

113012008704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 113012008704 in words is "one hundred thirteen billion, twelve million, eight thousand, seven hundred four".