312132132105319 has 2 divisors, whose sum is σ = 312132132105320. Its totient is φ = 312132132105318.

The previous prime is 312132132105289. The next prime is 312132132105323. The reversal of 312132132105319 is 913501231231213.

It is a strong prime.

It is an emirp because it is prime and its reverse (913501231231213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312132132105319 is a prime.

It is a super-2 number, since 2×312132132105319² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132132105719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066066052659 + 156066066052660.

It is an arithmetic number, because the mean of its divisors is an integer number (156066066052660).

Almost surely, 2^{312132132105319} is an apocalyptic number.

312132132105319 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132132105319 is an equidigital number, since it uses as much as digits as its factorization.

312132132105319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 312132132105319 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred five thousand, three hundred nineteen".