113331203001312 has 96 divisors (see below), whose sum is σ = 302843093613984. Its totient is φ = 37099801804800.

The previous prime is 113331203001301. The next prime is 113331203001361. The reversal of 113331203001312 is 213100302133311.

113331203001312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11342253 + ... + 18849644.

It is an arithmetic number, because the mean of its divisors is an integer number (3154615558479).

Almost surely, 2^{113331203001312} is an apocalyptic number.

113331203001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113331203001312 is an abundant number, since it is smaller than the sum of its proper divisors (189511890612672).

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

113331203001312 is a wasteful number, since it uses less digits than its factorization.

113331203001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30192612 (or 30192604 counting only the distinct ones).

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

Adding to 113331203001312 its reverse (213100302133311), we get a palindrome (326431505134623).

The spelling of 113331203001312 in words is "one hundred thirteen trillion, three hundred thirty-one billion, two hundred three million, one thousand, three hundred twelve".