13213113123317 has 2 divisors, whose sum is σ = 13213113123318. Its totient is φ = 13213113123316.

The previous prime is 13213113123271. The next prime is 13213113123319. The reversal of 13213113123317 is 71332131131231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10006599749041 + 3206513374276 = 3163321^2 + 1790674^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213113123317 - 2³⁶ = 13144393646581 is a prime.

It is a super-3 number, since 3×13213113123317³ (a number of 40 digits) contains 333 as substring.

Together with 13213113123319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13213113123319) 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, 6606556561658 + 6606556561659.

It is an arithmetic number, because the mean of its divisors is an integer number (6606556561659).

Almost surely, 2^{13213113123317} is an apocalyptic number.

It is an amenable number.

13213113123317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213113123317 is an equidigital number, since it uses as much as digits as its factorization.

13213113123317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 32.

Adding to 13213113123317 its reverse (71332131131231), we get a palindrome (84545244254548).

The spelling of 13213113123317 in words is "thirteen trillion, two hundred thirteen billion, one hundred thirteen million, one hundred twenty-three thousand, three hundred seventeen".