13220101313 has 2 divisors, whose sum is σ = 13220101314. Its totient is φ = 13220101312.

The previous prime is 13220101277. The next prime is 13220101339. The reversal of 13220101313 is 31310102231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7263811984 + 5956289329 = 85228^2 + 77177^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220101313 - 2²² = 13215907009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13220101291 and 13220101300.

It is not a weakly prime, because it can be changed into another prime (13220151313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610050656 + 6610050657.

It is an arithmetic number, because the mean of its divisors is an integer number (6610050657).

Almost surely, 2^13220101313 is an apocalyptic number.

It is an amenable number.

13220101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220101313 is an equidigital number, since it uses as much as digits as its factorization.

13220101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13220101313 its reverse (31310102231), we get a palindrome (44530203544).

The spelling of 13220101313 in words is "thirteen billion, two hundred twenty million, one hundred one thousand, three hundred thirteen".