13210013 has 2 divisors, whose sum is σ = 13210014. Its totient is φ = 13210012.

The previous prime is 13209991. The next prime is 13210033. The reversal of 13210013 is 31001231.

13210013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10510564 + 2699449 = 3242^2 + 1643^2 .

It is a cyclic number.

It is not a de Polignac number, because 13210013 - 2²⁰ = 12161437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13209976 and 13210003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13210033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605006 + 6605007.

It is an arithmetic number, because the mean of its divisors is an integer number (6605007).

Almost surely, 2^13210013 is an apocalyptic number.

It is an amenable number.

13210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13210013 is an equidigital number, since it uses as much as digits as its factorization.

13210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13210013 is about 3634.5581574656. The cubic root of 13210013 is about 236.3928926624.

Adding to 13210013 its reverse (31001231), we get a palindrome (44211244).

The spelling of 13210013 in words is "thirteen million, two hundred ten thousand, thirteen".