13006791313 has 2 divisors, whose sum is σ = 13006791314. Its totient is φ = 13006791312.

The previous prime is 13006791311. The next prime is 13006791361. The reversal of 13006791313 is 31319760031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9081518209 + 3925273104 = 95297^2 + 62652^2 .

It is a cyclic number.

It is not a de Polignac number, because 13006791313 - 2¹ = 13006791311 is a prime.

Together with 13006791311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13006791311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503395656 + 6503395657.

It is an arithmetic number, because the mean of its divisors is an integer number (6503395657).

Almost surely, 2^13006791313 is an apocalyptic number.

It is an amenable number.

13006791313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006791313 is an equidigital number, since it uses as much as digits as its factorization.

13006791313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 34.

The spelling of 13006791313 in words is "thirteen billion, six million, seven hundred ninety-one thousand, three hundred thirteen".