13301323210013 has 2 divisors, whose sum is σ = 13301323210014. Its totient is φ = 13301323210012.

The previous prime is 13301323209991. The next prime is 13301323210061. The reversal of 13301323210013 is 31001232310331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8616232656964 + 4685090553049 = 2935342^2 + 2164507^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301323210013 - 2⁴² = 8903276698909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13301323210073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650661605006 + 6650661605007.

It is an arithmetic number, because the mean of its divisors is an integer number (6650661605007).

Almost surely, 2^{13301323210013} is an apocalyptic number.

It is an amenable number.

13301323210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301323210013 is an equidigital number, since it uses as much as digits as its factorization.

13301323210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13301323210013 its reverse (31001232310331), we get a palindrome (44302555520344).

The spelling of 13301323210013 in words is "thirteen trillion, three hundred one billion, three hundred twenty-three million, two hundred ten thousand, thirteen".