13313257 has 2 divisors, whose sum is σ = 13313258. Its totient is φ = 13313256.

The previous prime is 13313221. The next prime is 13313263. The reversal of 13313257 is 75231331.

13313257 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., 8737936 + 4575321 = 2956^2 + 2139^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313257 - 2¹⁵ = 13280489 is a prime.

It is equal to p₈₆₈₃₀₀ and since 13313257 and 868300 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13313207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656628 + 6656629.

It is an arithmetic number, because the mean of its divisors is an integer number (6656629).

Almost surely, 2^13313257 is an apocalyptic number.

It is an amenable number.

13313257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313257 is an equidigital number, since it uses as much as digits as its factorization.

13313257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 25.

The square root of 13313257 is about 3648.7336159276. The cubic root of 13313257 is about 237.0071448884.

Adding to 13313257 its reverse (75231331), we get a palindrome (88544588).

The spelling of 13313257 in words is "thirteen million, three hundred thirteen thousand, two hundred fifty-seven".