13023113133312 has 144 divisors (see below), whose sum is σ = 40186056113280. Its totient is φ = 4152296890368.

The previous prime is 13023113133301. The next prime is 13023113133377. The reversal of 13023113133312 is 21333131132031.

13023113133312 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 11 + 313 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 40800393 + ... + 41118344.

It is an arithmetic number, because the mean of its divisors is an integer number (279069834120).

Almost surely, 2^{13023113133312} is an apocalyptic number.

13023113133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13023113133312 is an abundant number, since it is smaller than the sum of its proper divisors (27162942979968).

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

13023113133312 is an equidigital number, since it uses as much as digits as its factorization.

13023113133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81918785 (or 81918765 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13023113133312 its reverse (21333131132031), we get a palindrome (34356244265343).

The spelling of 13023113133312 in words is "thirteen trillion, twenty-three billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred twelve".