13003313 has 2 divisors, whose sum is σ = 13003314. Its totient is φ = 13003312.

The previous prime is 13003301. The next prime is 13003363. The reversal of 13003313 is 31330031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7772944 + 5230369 = 2788^2 + 2287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13003313 is a prime.

It is a super-2 number, since 2×13003313² = 338172297951938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13003363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501656 + 6501657.

It is an arithmetic number, because the mean of its divisors is an integer number (6501657).

Almost surely, 2^13003313 is an apocalyptic number.

It is an amenable number.

13003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003313 is an equidigital number, since it uses as much as digits as its factorization.

13003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 13003313 is about 3606.0106766342. The cubic root of 13003313 is about 235.1534413622.

Adding to 13003313 its reverse (31330031), we get a palindrome (44333344).

The spelling of 13003313 in words is "thirteen million, three thousand, three hundred thirteen".