13338313 has 2 divisors, whose sum is σ = 13338314. Its totient is φ = 13338312.

The previous prime is 13338257. The next prime is 13338317. The reversal of 13338313 is 31383331.

13338313 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., 13155129 + 183184 = 3627^2 + 428^2 .

It is a cyclic number.

It is not a de Polignac number, because 13338313 - 2²¹ = 11241161 is a prime.

It is not a weakly prime, because it can be changed into another prime (13338317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6669156 + 6669157.

It is an arithmetic number, because the mean of its divisors is an integer number (6669157).

Almost surely, 2^13338313 is an apocalyptic number.

It is an amenable number.

13338313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13338313 is an equidigital number, since it uses as much as digits as its factorization.

13338313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 25.

The square root of 13338313 is about 3652.1655219883. The cubic root of 13338313 is about 237.1557368635.

The spelling of 13338313 in words is "thirteen million, three hundred thirty-eight thousand, three hundred thirteen".