13935013 has 2 divisors, whose sum is σ = 13935014. Its totient is φ = 13935012.

The previous prime is 13935001. The next prime is 13935017. The reversal of 13935013 is 31053931.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8398404 + 5536609 = 2898^2 + 2353^2 .

It is an emirp because it is prime and its reverse (31053931) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13935013 - 2¹⁷ = 13803941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13935017) 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, 6967506 + 6967507.

It is an arithmetic number, because the mean of its divisors is an integer number (6967507).

Almost surely, 2^13935013 is an apocalyptic number.

It is an amenable number.

13935013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13935013 is an equidigital number, since it uses as much as digits as its factorization.

13935013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 25.

The square root of 13935013 is about 3732.9630322306. The cubic root of 13935013 is about 240.6407242887.

Adding to 13935013 its reverse (31053931), we get a palindrome (44988944).

The spelling of 13935013 in words is "thirteen million, nine hundred thirty-five thousand, thirteen".