12791116013 has 36 divisors (see below), whose sum is σ = 14864818428. Its totient is φ = 10998374400.

The previous prime is 12791115947. The next prime is 12791116049. The reversal of 12791116013 is 31061119721.

It can be written as a sum of positive squares in 18 ways, for example, as 3327328489 + 9463787524 = 57683^2 + 97282^2 .

It is not a de Polignac number, because 12791116013 - 2²² = 12786921709 is a prime.

It is a super-2 number, since 2×12791116013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12791116313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4931645 + ... + 4934237.

It is an arithmetic number, because the mean of its divisors is an integer number (412911623).

Almost surely, 2^12791116013 is an apocalyptic number.

12791116013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12791116013 is a deficient number, since it is larger than the sum of its proper divisors (2073702415).

12791116013 is a wasteful number, since it uses less digits than its factorization.

12791116013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The spelling of 12791116013 in words is "twelve billion, seven hundred ninety-one million, one hundred sixteen thousand, thirteen".