13310023332013 has 2 divisors, whose sum is σ = 13310023332014. Its totient is φ = 13310023332012.

The previous prime is 13310023331977. The next prime is 13310023332059. The reversal of 13310023332013 is 31023332001331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13013753221764 + 296270110249 = 3607458^2 + 544307^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310023332013 - 2⁴¹ = 11111000076461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310023339013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655011666006 + 6655011666007.

It is an arithmetic number, because the mean of its divisors is an integer number (6655011666007).

Almost surely, 2^{13310023332013} is an apocalyptic number.

It is an amenable number.

13310023332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310023332013 is an equidigital number, since it uses as much as digits as its factorization.

13310023332013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13310023332013 its reverse (31023332001331), we get a palindrome (44333355333344).

The spelling of 13310023332013 in words is "thirteen trillion, three hundred ten billion, twenty-three million, three hundred thirty-two thousand, thirteen".