113332121313312 has 96 divisors (see below), whose sum is σ = 324587012085504. Its totient is φ = 34338302163200.

The previous prime is 113332121313227. The next prime is 113332121313319. The reversal of 113332121313312 is 213313121233311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113332121313312.

It is not an unprimeable number, because it can be changed into a prime (113332121313319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173263 + ... + 15056369.

It is an arithmetic number, because the mean of its divisors is an integer number (3381114709224).

Almost surely, 2^{113332121313312} is an apocalyptic number.

113332121313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113332121313312 is an abundant number, since it is smaller than the sum of its proper divisors (211254890772192).

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

113332121313312 is a wasteful number, since it uses less digits than its factorization.

113332121313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890342 (or 14890334 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

Adding to 113332121313312 its reverse (213313121233311), we get a palindrome (326645242546623).

The spelling of 113332121313312 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred twelve".