31132301012017 has 2 divisors, whose sum is σ = 31132301012018. Its totient is φ = 31132301012016.

The previous prime is 31132301012003. The next prime is 31132301012023. The reversal of 31132301012017 is 71021010323113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22394104882081 + 8738196129936 = 4732241^2 + 2956044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31132301012017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31132301011982 and 31132301012000.

It is not a weakly prime, because it can be changed into another prime (31132301012047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566150506008 + 15566150506009.

It is an arithmetic number, because the mean of its divisors is an integer number (15566150506009).

Almost surely, 2^{31132301012017} is an apocalyptic number.

It is an amenable number.

31132301012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132301012017 is an equidigital number, since it uses as much as digits as its factorization.

31132301012017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The spelling of 31132301012017 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred one million, twelve thousand, seventeen".