312112211313013 has 2 divisors, whose sum is σ = 312112211313014. Its totient is φ = 312112211313012.

The previous prime is 312112211312999. The next prime is 312112211313041. The reversal of 312112211313013 is 310313112211213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196494707769649 + 115617503543364 = 14017657^2 + 10752558^2 .

It is an emirp because it is prime and its reverse (310313112211213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312112211313013 - 2²¹ = 312112209215861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312112211313043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056105656506 + 156056105656507.

It is an arithmetic number, because the mean of its divisors is an integer number (156056105656507).

Almost surely, 2^{312112211313013} is an apocalyptic number.

It is an amenable number.

312112211313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112211313013 is an equidigital number, since it uses as much as digits as its factorization.

312112211313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 312112211313013 its reverse (310313112211213), we get a palindrome (622425323524226).

The spelling of 312112211313013 in words is "three hundred twelve trillion, one hundred twelve billion, two hundred eleven million, three hundred thirteen thousand, thirteen".