113700533807520 has 3840 divisors, whose sum is σ = 488749014319104. Its totient is φ = 24785458790400.

The previous prime is 113700533807513. The next prime is 113700533807521. The reversal of 113700533807520 is 25708335007311.

113700533807520 is a `hidden beast` number, since 1 + 1 + 3 + 70 + 0 + 53 + 3 + 8 + 0 + 7 + 520 = 666.

It is a super-2 number, since 2×113700533807520² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (113700533807521) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 895279793697 + ... + 895279793823.

Almost surely, 2^{113700533807520} is an apocalyptic number.

113700533807520 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 113700533807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244374507159552).

113700533807520 is an abundant number, since it is smaller than the sum of its proper divisors (375048480511584).

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

113700533807520 is a wasteful number, since it uses less digits than its factorization.

113700533807520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 113700533807520 in words is "one hundred thirteen trillion, seven hundred billion, five hundred thirty-three million, eight hundred seven thousand, five hundred twenty".