12334517582013 has 96 divisors (see below), whose sum is σ = 20847278551680. Its totient is φ = 7147596994560.

The previous prime is 12334517581973. The next prime is 12334517582029. The reversal of 12334517582013 is 31028571543321.

12334517582013 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 51 + 7 + 582 + 0 + 13 = 666.

It is not a de Polignac number, because 12334517582013 - 2³³ = 12325927647421 is a prime.

It is a super-2 number, since 2×12334517582013² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12334517582013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334517582063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432517831 + ... + 432546347.

It is an arithmetic number, because the mean of its divisors is an integer number (217159151580).

Almost surely, 2^{12334517582013} is an apocalyptic number.

It is an amenable number.

12334517582013 is a deficient number, since it is larger than the sum of its proper divisors (8512760969667).

12334517582013 is a wasteful number, since it uses less digits than its factorization.

12334517582013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31336 (or 31307 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12334517582013 in words is "twelve trillion, three hundred thirty-four billion, five hundred seventeen million, five hundred eighty-two thousand, thirteen".