113001002313312 has 48 divisors (see below), whose sum is σ = 314076315257712. Its totient is φ = 35451294842880.

The previous prime is 113001002313259. The next prime is 113001002313317. The reversal of 113001002313312 is 213313200100311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113001002313317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34620403489 + ... + 34620406752.

It is an arithmetic number, because the mean of its divisors is an integer number (6543256567869).

Almost surely, 2^{113001002313312} is an apocalyptic number.

113001002313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113001002313312 is an abundant number, since it is smaller than the sum of its proper divisors (201075312944400).

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

113001002313312 is a wasteful number, since it uses less digits than its factorization.

113001002313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69240810271 (or 69240810263 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113001002313312 its reverse (213313200100311), we get a palindrome (326314202413623).

The spelling of 113001002313312 in words is "one hundred thirteen trillion, one billion, two million, three hundred thirteen thousand, three hundred twelve".