331100133121127 has 2 divisors, whose sum is σ = 331100133121128. Its totient is φ = 331100133121126.

The previous prime is 331100133121123. The next prime is 331100133121141. The reversal of 331100133121127 is 721121331001133.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 331100133121127 - 2² = 331100133121123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331100133121127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331100133121123) 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, 165550066560563 + 165550066560564.

It is an arithmetic number, because the mean of its divisors is an integer number (165550066560564).

Almost surely, 2^{331100133121127} is an apocalyptic number.

331100133121127 is a deficient number, since it is larger than the sum of its proper divisors (1).

331100133121127 is an equidigital number, since it uses as much as digits as its factorization.

331100133121127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The spelling of 331100133121127 in words is "three hundred thirty-one trillion, one hundred billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty-seven".