31113300002017 has 2 divisors, whose sum is σ = 31113300002018. Its totient is φ = 31113300002016.

The previous prime is 31113300002009. The next prime is 31113300002021. The reversal of 31113300002017 is 71020000331113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23727819796641 + 7385480205376 = 4871121^2 + 2717624^2 .

It is an emirp because it is prime and its reverse (71020000331113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31113300002017 - 2³ = 31113300002009 is a prime.

It is a super-2 number, since 2×31113300002017² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31113300002117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556650001008 + 15556650001009.

It is an arithmetic number, because the mean of its divisors is an integer number (15556650001009).

Almost surely, 2^{31113300002017} is an apocalyptic number.

It is an amenable number.

31113300002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31113300002017 is an equidigital number, since it uses as much as digits as its factorization.

31113300002017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

The spelling of 31113300002017 in words is "thirty-one trillion, one hundred thirteen billion, three hundred million, two thousand, seventeen".