13220104620313 has 2 divisors, whose sum is σ = 13220104620314. Its totient is φ = 13220104620312.

The previous prime is 13220104620293. The next prime is 13220104620347. The reversal of 13220104620313 is 31302640102231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13031255273689 + 188849346624 = 3609883^2 + 434568^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220104620313 - 2³⁷ = 13082665666841 is a prime.

It is a super-2 number, since 2×13220104620313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13220104627313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610052310156 + 6610052310157.

It is an arithmetic number, because the mean of its divisors is an integer number (6610052310157).

Almost surely, 2^{13220104620313} is an apocalyptic number.

It is an amenable number.

13220104620313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220104620313 is an equidigital number, since it uses as much as digits as its factorization.

13220104620313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13220104620313 its reverse (31302640102231), we get a palindrome (44522744722544).

The spelling of 13220104620313 in words is "thirteen trillion, two hundred twenty billion, one hundred four million, six hundred twenty thousand, three hundred thirteen".