12133020321329 has 2 divisors, whose sum is σ = 12133020321330. Its totient is φ = 12133020321328.

The previous prime is 12133020321311. The next prime is 12133020321337. The reversal of 12133020321329 is 92312302033121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11978140293025 + 154880028304 = 3460945^2 + 393548^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133020321329 - 2⁸ = 12133020321073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133020321295 and 12133020321304.

It is not a weakly prime, because it can be changed into another prime (12133020321379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066510160664 + 6066510160665.

It is an arithmetic number, because the mean of its divisors is an integer number (6066510160665).

Almost surely, 2^{12133020321329} is an apocalyptic number.

It is an amenable number.

12133020321329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133020321329 is an equidigital number, since it uses as much as digits as its factorization.

12133020321329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 12133020321329 in words is "twelve trillion, one hundred thirty-three billion, twenty million, three hundred twenty-one thousand, three hundred twenty-nine".