31100001102017 has 2 divisors, whose sum is σ = 31100001102018. Its totient is φ = 31100001102016.

The previous prime is 31100001101977. The next prime is 31100001102047. The reversal of 31100001102017 is 71020110000113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29427055458241 + 1672945643776 = 5424671^2 + 1293424^2 .

It is a cyclic number.

It is not a de Polignac number, because 31100001102017 - 2⁸ = 31100001101761 is a prime.

It is a super-2 number, since 2×31100001102017² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31100001101986 and 31100001102004.

It is not a weakly prime, because it can be changed into another prime (31100001102047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550000551008 + 15550000551009.

It is an arithmetic number, because the mean of its divisors is an integer number (15550000551009).

Almost surely, 2^{31100001102017} is an apocalyptic number.

It is an amenable number.

31100001102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100001102017 is an equidigital number, since it uses as much as digits as its factorization.

31100001102017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

The spelling of 31100001102017 in words is "thirty-one trillion, one hundred billion, one million, one hundred two thousand, seventeen".