13017313 has 2 divisors, whose sum is σ = 13017314. Its totient is φ = 13017312.

The previous prime is 13017293. The next prime is 13017331. The reversal of 13017313 is 31371031.

It is a happy number.

Together with next prime (13017331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12510369 + 506944 = 3537^2 + 712^2 .

It is an emirp because it is prime and its reverse (31371031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13017313 - 2¹⁷ = 12886241 is a prime.

It is not a weakly prime, because it can be changed into another prime (13017113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6508656 + 6508657.

It is an arithmetic number, because the mean of its divisors is an integer number (6508657).

Almost surely, 2^13017313 is an apocalyptic number.

It is an amenable number.

13017313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13017313 is an equidigital number, since it uses as much as digits as its factorization.

13017313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 13017313 is about 3607.9513577652. The cubic root of 13017313 is about 235.2378036421.

Adding to 13017313 its reverse (31371031), we get a palindrome (44388344).

The spelling of 13017313 in words is "thirteen million, seventeen thousand, three hundred thirteen".