12864313129 has 2 divisors, whose sum is σ = 12864313130. Its totient is φ = 12864313128.

The previous prime is 12864313123. The next prime is 12864313157. The reversal of 12864313129 is 92131346821.

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., 12377007504 + 487305625 = 111252^2 + 22075^2 .

It is a cyclic number.

It is not a de Polignac number, because 12864313129 - 2⁵ = 12864313097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12864313091 and 12864313100.

It is not a weakly prime, because it can be changed into another prime (12864313123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6432156564 + 6432156565.

It is an arithmetic number, because the mean of its divisors is an integer number (6432156565).

Almost surely, 2^12864313129 is an apocalyptic number.

It is an amenable number.

12864313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12864313129 is an equidigital number, since it uses as much as digits as its factorization.

12864313129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 40.

The spelling of 12864313129 in words is "twelve billion, eight hundred sixty-four million, three hundred thirteen thousand, one hundred twenty-nine".