13180309 has 2 divisors, whose sum is σ = 13180310. Its totient is φ = 13180308.

The previous prime is 13180289. The next prime is 13180313. The reversal of 13180309 is 90308131.

13180309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12802084 + 378225 = 3578^2 + 615^2 .

It is a cyclic number.

It is not a de Polignac number, because 13180309 - 2¹⁷ = 13049237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13180339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6590154 + 6590155.

It is an arithmetic number, because the mean of its divisors is an integer number (6590155).

Almost surely, 2^13180309 is an apocalyptic number.

It is an amenable number.

13180309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13180309 is an equidigital number, since it uses as much as digits as its factorization.

13180309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13180309 is about 3630.4695288626. The cubic root of 13180309 is about 236.2155755484.

The spelling of 13180309 in words is "thirteen million, one hundred eighty thousand, three hundred nine".