12312122013013 has 2 divisors, whose sum is σ = 12312122013014. Its totient is φ = 12312122013012.

The previous prime is 12312122013011. The next prime is 12312122013017. The reversal of 12312122013013 is 31031022121321.

12312122013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11915213192964 + 396908820049 = 3451842^2 + 630007^2 .

It is a cyclic number.

It is not a de Polignac number, because 12312122013013 - 2¹ = 12312122013011 is a prime.

Together with 12312122013011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12312122013011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156061006506 + 6156061006507.

It is an arithmetic number, because the mean of its divisors is an integer number (6156061006507).

Almost surely, 2^{12312122013013} is an apocalyptic number.

It is an amenable number.

12312122013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312122013013 is an equidigital number, since it uses as much as digits as its factorization.

12312122013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12312122013013 its reverse (31031022121321), we get a palindrome (43343144134334).

The spelling of 12312122013013 in words is "twelve trillion, three hundred twelve billion, one hundred twenty-two million, thirteen thousand, thirteen".