12312066013129 has 2 divisors, whose sum is σ = 12312066013130. Its totient is φ = 12312066013128.

The previous prime is 12312066013111. The next prime is 12312066013147. The reversal of 12312066013129 is 92131066021321.

It is a balanced prime because it is at equal distance from previous prime (12312066013111) and next prime (12312066013147).

It can be written as a sum of positive squares in only one way, i.e., 6992824916025 + 5319241097104 = 2644395^2 + 2306348^2 .

It is an emirp because it is prime and its reverse (92131066021321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12312066013129 - 2⁷ = 12312066013001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12312666013129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156033006564 + 6156033006565.

It is an arithmetic number, because the mean of its divisors is an integer number (6156033006565).

Almost surely, 2^{12312066013129} is an apocalyptic number.

It is an amenable number.

12312066013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312066013129 is an equidigital number, since it uses as much as digits as its factorization.

12312066013129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 12312066013129 in words is "twelve trillion, three hundred twelve billion, sixty-six million, thirteen thousand, one hundred twenty-nine".