13220320302113 has 2 divisors, whose sum is σ = 13220320302114. Its totient is φ = 13220320302112.

The previous prime is 13220320302029. The next prime is 13220320302149. The reversal of 13220320302113 is 31120302302231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10680399175744 + 2539921126369 = 3268088^2 + 1593713^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220320302113 - 2²⁶ = 13220253193249 is a prime.

It is a super-2 number, since 2×13220320302113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13220320802113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610160151056 + 6610160151057.

It is an arithmetic number, because the mean of its divisors is an integer number (6610160151057).

Almost surely, 2^{13220320302113} is an apocalyptic number.

It is an amenable number.

13220320302113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220320302113 is an equidigital number, since it uses as much as digits as its factorization.

13220320302113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13220320302113 its reverse (31120302302231), we get a palindrome (44340622604344).

The spelling of 13220320302113 in words is "thirteen trillion, two hundred twenty billion, three hundred twenty million, three hundred two thousand, one hundred thirteen".