13310361607013 has 2 divisors, whose sum is σ = 13310361607014. Its totient is φ = 13310361607012.

The previous prime is 13310361606937. The next prime is 13310361607033. The reversal of 13310361607013 is 31070616301331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13227638068324 + 82723538689 = 3636982^2 + 287617^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310361607013 - 2⁸ = 13310361606757 is a prime.

It is a super-2 number, since 2×13310361607013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310361607033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655180803506 + 6655180803507.

It is an arithmetic number, because the mean of its divisors is an integer number (6655180803507).

Almost surely, 2^{13310361607013} is an apocalyptic number.

It is an amenable number.

13310361607013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310361607013 is an equidigital number, since it uses as much as digits as its factorization.

13310361607013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 35.

Adding to 13310361607013 its reverse (31070616301331), we get a palindrome (44380977908344).

The spelling of 13310361607013 in words is "thirteen trillion, three hundred ten billion, three hundred sixty-one million, six hundred seven thousand, thirteen".