13113009 has 48 divisors (see below), whose sum is σ = 24216192. Its totient is φ = 6905088.

The previous prime is 13112971. The next prime is 13113011. The reversal of 13113009 is 90031131.

13113009 = 32³ + 33³ + ... + 85³.

It is not a de Polignac number, because 13113009 - 2⁸ = 13112753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13112982 and 13113000.

It is not an unprimeable number, because it can be changed into a prime (13113029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21817 + ... + 22409.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 2^13113009 is an apocalyptic number.

It is an amenable number.

13113009 is a deficient number, since it is larger than the sum of its proper divisors (11103183).

13113009 is an equidigital number, since it uses as much as digits as its factorization.

13113009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 13113009 is about 3621.1888931675. The cubic root of 13113009 is about 235.8128423750.

The spelling of 13113009 in words is "thirteen million, one hundred thirteen thousand, nine".