113200131210 has 128 divisors (see below), whose sum is σ = 286322770944. Its totient is φ = 28611440640.

The previous prime is 113200131203. The next prime is 113200131223. The reversal of 113200131210 is 12131002311.

It is a happy number.

It is a super-3 number, since 3×113200131210³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113200131210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7912824 + ... + 7927116.

It is an arithmetic number, because the mean of its divisors is an integer number (2236896648).

Almost surely, 2^113200131210 is an apocalyptic number.

113200131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113200131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143161385472).

113200131210 is an abundant number, since it is smaller than the sum of its proper divisors (173122639734).

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

113200131210 is a wasteful number, since it uses less digits than its factorization.

113200131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14528.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113200131210 its reverse (12131002311), we get a palindrome (125331133521).

The spelling of 113200131210 in words is "one hundred thirteen billion, two hundred million, one hundred thirty-one thousand, two hundred ten".