13057072011 has 24 divisors (see below), whose sum is σ = 19335891120. Its totient is φ = 8485516800.

The previous prime is 13057071949. The next prime is 13057072019. The reversal of 13057072011 is 11027075031.

It is a happy number.

13057072011 is a `hidden beast` number, since 13 + 0 + 570 + 72 + 0 + 11 = 666.

It is not a de Polignac number, because 13057072011 - 2⁹ = 13057071499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13057072019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462675 + ... + 490083.

It is an arithmetic number, because the mean of its divisors is an integer number (805662130).

Almost surely, 2^13057072011 is an apocalyptic number.

13057072011 is a deficient number, since it is larger than the sum of its proper divisors (6278819109).

13057072011 is a wasteful number, since it uses less digits than its factorization.

13057072011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28747 (or 28744 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 13057072011 in words is "thirteen billion, fifty-seven million, seventy-two thousand, eleven".