113217510210560 has 352 divisors, whose sum is σ = 317099246376960. Its totient is φ = 37986796044288.

The previous prime is 113217510210521. The next prime is 113217510210569. The reversal of 113217510210560 is 65012015712311.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 113217510210560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113217510210569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319766747 + ... + 320120613.

Almost surely, 2^{113217510210560} is an apocalyptic number.

113217510210560 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 113217510210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158549623188480).

113217510210560 is an abundant number, since it is smaller than the sum of its proper divisors (203881736166400).

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

113217510210560 is a wasteful number, since it uses less digits than its factorization.

113217510210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354091 (or 354073 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

Adding to 113217510210560 its reverse (65012015712311), we get a palindrome (178229525922871).

The spelling of 113217510210560 in words is "one hundred thirteen trillion, two hundred seventeen billion, five hundred ten million, two hundred ten thousand, five hundred sixty".