12129817328113 has 2 divisors, whose sum is σ = 12129817328114. Its totient is φ = 12129817328112.

The previous prime is 12129817328039. The next prime is 12129817328143. The reversal of 12129817328113 is 31182371892121.

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., 7170034446864 + 4959782881249 = 2677692^2 + 2227057^2 .

It is a cyclic number.

It is not a de Polignac number, because 12129817328113 - 2²⁹ = 12129280457201 is a prime.

It is not a weakly prime, because it can be changed into another prime (12129817328143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6064908664056 + 6064908664057.

It is an arithmetic number, because the mean of its divisors is an integer number (6064908664057).

Almost surely, 2^{12129817328113} is an apocalyptic number.

It is an amenable number.

12129817328113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12129817328113 is an equidigital number, since it uses as much as digits as its factorization.

12129817328113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 49.

The spelling of 12129817328113 in words is "twelve trillion, one hundred twenty-nine billion, eight hundred seventeen million, three hundred twenty-eight thousand, one hundred thirteen".