331132313112193 has 2 divisors, whose sum is σ = 331132313112194. Its totient is φ = 331132313112192.

The previous prime is 331132313112151. The next prime is 331132313112247. The reversal of 331132313112193 is 391211313231133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218071879304049 + 113060433808144 = 14767257^2 + 10632988^2 .

It is a cyclic number.

It is not a de Polignac number, because 331132313112193 - 2²⁹ = 331131776241281 is a prime.

It is not a weakly prime, because it can be changed into another prime (331132313112493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566156556096 + 165566156556097.

It is an arithmetic number, because the mean of its divisors is an integer number (165566156556097).

Almost surely, 2^{331132313112193} is an apocalyptic number.

It is an amenable number.

331132313112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

331132313112193 is an equidigital number, since it uses as much as digits as its factorization.

331132313112193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26244, while the sum is 37.

The spelling of 331132313112193 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, three hundred thirteen million, one hundred twelve thousand, one hundred ninety-three".