113112131310 has 96 divisors (see below), whose sum is σ = 306294685632. Its totient is φ = 28934599680.

The previous prime is 113112131221. The next prime is 113112131357. The reversal of 113112131310 is 13131211311.

113112131310 is a `hidden beast` number, since 11 + 311 + 2 + 1 + 31 + 310 = 666.

It is a super-2 number, since 2×113112131310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2779 + ... + 475638.

It is an arithmetic number, because the mean of its divisors is an integer number (3190569642).

Almost surely, 2^113112131310 is an apocalyptic number.

113112131310 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 113112131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153147342816).

113112131310 is an abundant number, since it is smaller than the sum of its proper divisors (193182554322).

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

113112131310 is a wasteful number, since it uses less digits than its factorization.

113112131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478538 (or 478535 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113112131310 its reverse (13131211311), we get a palindrome (126243342621).

The spelling of 113112131310 in words is "one hundred thirteen billion, one hundred twelve million, one hundred thirty-one thousand, three hundred ten".