13042013 has 2 divisors, whose sum is σ = 13042014. Its totient is φ = 13042012.

The previous prime is 13041997. The next prime is 13042033. The reversal of 13042013 is 31024031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11847364 + 1194649 = 3442^2 + 1093^2 .

It is a cyclic number.

It is not a de Polignac number, because 13042013 - 2⁴ = 13041997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13042033) 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, 6521006 + 6521007.

It is an arithmetic number, because the mean of its divisors is an integer number (6521007).

Almost surely, 2^13042013 is an apocalyptic number.

It is an amenable number.

13042013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13042013 is an equidigital number, since it uses as much as digits as its factorization.

13042013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13042013 is about 3611.3727306940. The cubic root of 13042013 is about 235.3864954294.

Adding to 13042013 its reverse (31024031), we get a palindrome (44066044).

The spelling of 13042013 in words is "thirteen million, forty-two thousand, thirteen".