13220320013 has 2 divisors, whose sum is σ = 13220320014. Its totient is φ = 13220320012.

The previous prime is 13220319991. The next prime is 13220320019. The reversal of 13220320013 is 31002302231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6730889764 + 6489430249 = 82042^2 + 80557^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220320013 - 2¹⁰ = 13220318989 is a prime.

It is a super-2 number, since 2×13220320013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220319973 and 13220320000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13220320019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610160006 + 6610160007.

It is an arithmetic number, because the mean of its divisors is an integer number (6610160007).

Almost surely, 2^13220320013 is an apocalyptic number.

It is an amenable number.

13220320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220320013 is an equidigital number, since it uses as much as digits as its factorization.

13220320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13220320013 its reverse (31002302231), we get a palindrome (44222622244).

The spelling of 13220320013 in words is "thirteen billion, two hundred twenty million, three hundred twenty thousand, thirteen".