31331133020017 has 2 divisors, whose sum is σ = 31331133020018. Its totient is φ = 31331133020016.

The previous prime is 31331133019997. The next prime is 31331133020027. The reversal of 31331133020017 is 71002033113313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31001744262241 + 329388757776 = 5567921^2 + 573924^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331133020017 - 2¹¹ = 31331133017969 is a prime.

It is not a weakly prime, because it can be changed into another prime (31331133020027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665566510008 + 15665566510009.

It is an arithmetic number, because the mean of its divisors is an integer number (15665566510009).

Almost surely, 2^{31331133020017} is an apocalyptic number.

It is an amenable number.

31331133020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331133020017 is an equidigital number, since it uses as much as digits as its factorization.

31331133020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

The spelling of 31331133020017 in words is "thirty-one trillion, three hundred thirty-one billion, one hundred thirty-three million, twenty thousand, seventeen".