13056309 has 20 divisors (see below), whose sum is σ = 22291104. Its totient is φ = 7460424.

The previous prime is 13056229. The next prime is 13056311. The reversal of 13056309 is 90365031.

It is not a de Polignac number, because 13056309 - 2¹⁵ = 13023541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13056319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10947 + ... + 12080.

Almost surely, 2^13056309 is an apocalyptic number.

It is an amenable number.

13056309 is a deficient number, since it is larger than the sum of its proper divisors (9234795).

13056309 is an equidigital number, since it uses as much as digits as its factorization.

13056309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23046 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13056309 is about 3613.3514913443. The cubic root of 13056309 is about 235.4724703103.

It can be divided in two parts, 13056 and 309, that multiplied together give a palindrome (4034304).

The spelling of 13056309 in words is "thirteen million, fifty-six thousand, three hundred nine".