113132331312 has 480 divisors, whose sum is σ = 410250242304. Its totient is φ = 26388633600.

The previous prime is 113132331251. The next prime is 113132331329. The reversal of 113132331312 is 213133231311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 12439887 + ... + 12448977.

Almost surely, 2^113132331312 is an apocalyptic number.

113132331312 is a gapful number since it is divisible by the number (12) 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 113132331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205125121152).

113132331312 is an abundant number, since it is smaller than the sum of its proper divisors (297117910992).

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

113132331312 is a wasteful number, since it uses less digits than its factorization.

113132331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9164 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 113132331312 its reverse (213133231311), we get a palindrome (326265562623).

It can be divided in two parts, 113132 and 331312, that added together give a palindrome (444444).

The spelling of 113132331312 in words is "one hundred thirteen billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred twelve".