13000300210013 has 2 divisors, whose sum is σ = 13000300210014. Its totient is φ = 13000300210012.

The previous prime is 13000300209997. The next prime is 13000300210021. The reversal of 13000300210013 is 31001200300031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8422317907129 + 4577982302884 = 2902123^2 + 2139622^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000300210013 - 2⁴ = 13000300209997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13000300210013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000300210033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500150105006 + 6500150105007.

It is an arithmetic number, because the mean of its divisors is an integer number (6500150105007).

Almost surely, 2^{13000300210013} is an apocalyptic number.

It is an amenable number.

13000300210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000300210013 is an equidigital number, since it uses as much as digits as its factorization.

13000300210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13000300210013 its reverse (31001200300031), we get a palindrome (44001500510044).

The spelling of 13000300210013 in words is "thirteen trillion, three hundred million, two hundred ten thousand, thirteen".