13222101312317 has 2 divisors, whose sum is σ = 13222101312318. Its totient is φ = 13222101312316.

The previous prime is 13222101312257. The next prime is 13222101312341. The reversal of 13222101312317 is 71321310122231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12430038691876 + 792062620441 = 3525626^2 + 889979^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222101312317 - 2⁸ = 13222101312061 is a prime.

It is a super-2 number, since 2×13222101312317² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13222101312317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13222101312347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611050656158 + 6611050656159.

It is an arithmetic number, because the mean of its divisors is an integer number (6611050656159).

Almost surely, 2^{13222101312317} is an apocalyptic number.

It is an amenable number.

13222101312317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222101312317 is an equidigital number, since it uses as much as digits as its factorization.

13222101312317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 13222101312317 its reverse (71321310122231), we get a palindrome (84543411434548).

The spelling of 13222101312317 in words is "thirteen trillion, two hundred twenty-two billion, one hundred one million, three hundred twelve thousand, three hundred seventeen".