13032009 has 20 divisors (see below), whose sum is σ = 19565700. Its totient is φ = 8644320.

The previous prime is 13031999. The next prime is 13032017. The reversal of 13032009 is 90023031.

13032009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 6125625 = 2628^2 + 2475^2 .

It is not a de Polignac number, because 13032009 - 2¹⁵ = 12999241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13031982 and 13032000.

It is not an unprimeable number, because it can be changed into a prime (13032209) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28039 + ... + 28499.

It is an arithmetic number, because the mean of its divisors is an integer number (978285).

Almost surely, 2^13032009 is an apocalyptic number.

It is an amenable number.

13032009 is a deficient number, since it is larger than the sum of its proper divisors (6533691).

13032009 is an equidigital number, since it uses as much as digits as its factorization.

13032009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13032009 is about 3609.9873960999. The cubic root of 13032009 is about 235.3262948850.

The spelling of 13032009 in words is "thirteen million, thirty-two thousand, nine".