31231122102017 has 2 divisors, whose sum is σ = 31231122102018. Its totient is φ = 31231122102016.

The previous prime is 31231122101981. The next prime is 31231122102067. The reversal of 31231122102017 is 71020122113213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23695048475536 + 7536073626481 = 4867756^2 + 2745191^2 .

It is a cyclic number.

It is not a de Polignac number, because 31231122102017 - 2¹² = 31231122097921 is a prime.

It is not a weakly prime, because it can be changed into another prime (31231122102067) 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, 15615561051008 + 15615561051009.

It is an arithmetic number, because the mean of its divisors is an integer number (15615561051009).

Almost surely, 2^{31231122102017} is an apocalyptic number.

It is an amenable number.

31231122102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31231122102017 is an equidigital number, since it uses as much as digits as its factorization.

31231122102017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 31231122102017 in words is "thirty-one trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, seventeen".