12312013323013 has 2 divisors, whose sum is σ = 12312013323014. Its totient is φ = 12312013323012.

The previous prime is 12312013322977. The next prime is 12312013323031. The reversal of 12312013323013 is 31032331021321.

12312013323013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (12312013323031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10050123657249 + 2261889665764 = 3170193^2 + 1503958^2 .

It is a cyclic number.

It is not a de Polignac number, because 12312013323013 - 2⁹ = 12312013322501 is a prime.

It is a super-2 number, since 2×12312013323013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12312013323083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156006661506 + 6156006661507.

It is an arithmetic number, because the mean of its divisors is an integer number (6156006661507).

Almost surely, 2^{12312013323013} is an apocalyptic number.

It is an amenable number.

12312013323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312013323013 is an equidigital number, since it uses as much as digits as its factorization.

12312013323013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12312013323013 its reverse (31032331021321), we get a palindrome (43344344344334).

The spelling of 12312013323013 in words is "twelve trillion, three hundred twelve billion, thirteen million, three hundred twenty-three thousand, thirteen".