13310020323013 has 2 divisors, whose sum is σ = 13310020323014. Its totient is φ = 13310020323012.

The previous prime is 13310020323011. The next prime is 13310020323077. The reversal of 13310020323013 is 31032302001331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13189804177729 + 120216145284 = 3631777^2 + 346722^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310020323013 - 2¹ = 13310020323011 is a prime.

Together with 13310020323011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310020323011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655010161506 + 6655010161507.

It is an arithmetic number, because the mean of its divisors is an integer number (6655010161507).

Almost surely, 2^{13310020323013} is an apocalyptic number.

It is an amenable number.

13310020323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310020323013 is an equidigital number, since it uses as much as digits as its factorization.

13310020323013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13310020323013 its reverse (31032302001331), we get a palindrome (44342322324344).

The spelling of 13310020323013 in words is "thirteen trillion, three hundred ten billion, twenty million, three hundred twenty-three thousand, thirteen".