13210120013 has 2 divisors, whose sum is σ = 13210120014. Its totient is φ = 13210120012.

The previous prime is 13210119997. The next prime is 13210120039. The reversal of 13210120013 is 31002101231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12489627049 + 720492964 = 111757^2 + 26842^2 .

It is an emirp because it is prime and its reverse (31002101231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13210120013 - 2⁴ = 13210119997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13210120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13210120073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605060006 + 6605060007.

It is an arithmetic number, because the mean of its divisors is an integer number (6605060007).

Almost surely, 2^13210120013 is an apocalyptic number.

It is an amenable number.

13210120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13210120013 is an equidigital number, since it uses as much as digits as its factorization.

13210120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13210120013 its reverse (31002101231), we get a palindrome (44212221244).

The spelling of 13210120013 in words is "thirteen billion, two hundred ten million, one hundred twenty thousand, thirteen".