13002313 has 2 divisors, whose sum is σ = 13002314. Its totient is φ = 13002312.

The previous prime is 13002307. The next prime is 13002323. The reversal of 13002313 is 31320031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7767369 + 5234944 = 2787^2 + 2288^2 .

It is a cyclic number.

It is not a de Polignac number, because 13002313 - 2¹⁷ = 12871241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13002293 and 13002302.

It is not a weakly prime, because it can be changed into another prime (13002323) 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, 6501156 + 6501157.

It is an arithmetic number, because the mean of its divisors is an integer number (6501157).

Almost surely, 2^13002313 is an apocalyptic number.

It is an amenable number.

13002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002313 is an equidigital number, since it uses as much as digits as its factorization.

13002313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13002313 is about 3605.8720165863. The cubic root of 13002313 is about 235.1474131685.

Adding to 13002313 its reverse (31320031), we get a palindrome (44322344).

The spelling of 13002313 in words is "thirteen million, two thousand, three hundred thirteen".