13007667657631 has 2 divisors, whose sum is σ = 13007667657632. Its totient is φ = 13007667657630.

The previous prime is 13007667657553. The next prime is 13007667657701. The reversal of 13007667657631 is 13675676670031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13007667657631 - 2¹⁹ = 13007667133343 is a prime.

It is a super-2 number, since 2×13007667657631² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13007667651631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503833828815 + 6503833828816.

It is an arithmetic number, because the mean of its divisors is an integer number (6503833828816).

Almost surely, 2^{13007667657631} is an apocalyptic number.

13007667657631 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007667657631 is an equidigital number, since it uses as much as digits as its factorization.

13007667657631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20003760, while the sum is 58.

The spelling of 13007667657631 in words is "thirteen trillion, seven billion, six hundred sixty-seven million, six hundred fifty-seven thousand, six hundred thirty-one".