13036013 has 2 divisors, whose sum is σ = 13036014. Its totient is φ = 13036012.

The previous prime is 13036007. The next prime is 13036021. The reversal of 13036013 is 31063031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8655364 + 4380649 = 2942^2 + 2093^2 .

It is a cyclic number.

It is not a de Polignac number, because 13036013 - 2¹⁸ = 12773869 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13035982 and 13036000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13036043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6518006 + 6518007.

It is an arithmetic number, because the mean of its divisors is an integer number (6518007).

Almost surely, 2^13036013 is an apocalyptic number.

It is an amenable number.

13036013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13036013 is an equidigital number, since it uses as much as digits as its factorization.

13036013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 13036013 is about 3610.5419260826. The cubic root of 13036013 is about 235.3503932416.

Adding to 13036013 its reverse (31063031), we get a palindrome (44099044).

The spelling of 13036013 in words is "thirteen million, thirty-six thousand, thirteen".