31123343412017 has 2 divisors, whose sum is σ = 31123343412018. Its totient is φ = 31123343412016.

The previous prime is 31123343411989. The next prime is 31123343412079. The reversal of 31123343412017 is 71021434332113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28263673016881 + 2859670395136 = 5316359^2 + 1691056^2 .

It is a cyclic number.

It is not a de Polignac number, because 31123343412017 - 2¹⁶ = 31123343346481 is a prime.

It is not a weakly prime, because it can be changed into another prime (31123343417017) 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, 15561671706008 + 15561671706009.

It is an arithmetic number, because the mean of its divisors is an integer number (15561671706009).

Almost surely, 2^{31123343412017} is an apocalyptic number.

It is an amenable number.

31123343412017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123343412017 is an equidigital number, since it uses as much as digits as its factorization.

31123343412017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 31123343412017 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred forty-three million, four hundred twelve thousand, seventeen".