13032031013009 has 2 divisors, whose sum is σ = 13032031013010. Its totient is φ = 13032031013008.

The previous prime is 13032031012951. The next prime is 13032031013021. The reversal of 13032031013009 is 90031013023031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7508849491984 + 5523181521025 = 2740228^2 + 2350145^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032031013009 - 2²⁰ = 13032029964433 is a prime.

It is not a weakly prime, because it can be changed into another prime (13032031013039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516015506504 + 6516015506505.

It is an arithmetic number, because the mean of its divisors is an integer number (6516015506505).

Almost surely, 2^{13032031013009} is an apocalyptic number.

It is an amenable number.

13032031013009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032031013009 is an equidigital number, since it uses as much as digits as its factorization.

13032031013009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 13032031013009 in words is "thirteen trillion, thirty-two billion, thirty-one million, thirteen thousand, nine".