319205013224131 has 2 divisors, whose sum is σ = 319205013224132. Its totient is φ = 319205013224130.

The previous prime is 319205013224129. The next prime is 319205013224147. The reversal of 319205013224131 is 131422310502913.

It is a weak prime.

It is an emirp because it is prime and its reverse (131422310502913) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 319205013224131 - 2¹ = 319205013224129 is a prime.

It is a super-2 number, since 2×319205013224131² (a number of 30 digits) contains 22 as substring.

Together with 319205013224129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (319205013224171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159602506612065 + 159602506612066.

It is an arithmetic number, because the mean of its divisors is an integer number (159602506612066).

Almost surely, 2^{319205013224131} is an apocalyptic number.

319205013224131 is a deficient number, since it is larger than the sum of its proper divisors (1).

319205013224131 is an equidigital number, since it uses as much as digits as its factorization.

319205013224131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 319205013224131 in words is "three hundred nineteen trillion, two hundred five billion, thirteen million, two hundred twenty-four thousand, one hundred thirty-one".