13205313 has 12 divisors (see below), whose sum is σ = 20808528. Its totient is φ = 8003160.

The previous prime is 13205303. The next prime is 13205327. The reversal of 13205313 is 31350231.

13205313 is a `hidden beast` number, since 132 + 0 + 531 + 3 = 666.

It is not a de Polignac number, because 13205313 - 2⁶ = 13205249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13205303) 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 11 ways as a sum of consecutive naturals, for example, 66595 + ... + 66792.

It is an arithmetic number, because the mean of its divisors is an integer number (1734044).

Almost surely, 2^13205313 is an apocalyptic number.

It is an amenable number.

13205313 is a deficient number, since it is larger than the sum of its proper divisors (7603215).

13205313 is a wasteful number, since it uses less digits than its factorization.

13205313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133404 (or 133401 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13205313 is about 3633.9115289176. The cubic root of 13205313 is about 236.3648538713.

Adding to 13205313 its reverse (31350231), we get a palindrome (44555544).

The spelling of 13205313 in words is "thirteen million, two hundred five thousand, three hundred thirteen".