311001000100117 has 2 divisors, whose sum is σ = 311001000100118. Its totient is φ = 311001000100116.

The previous prime is 311001000100099. The next prime is 311001000100159. The reversal of 311001000100117 is 711001000100113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241209662417476 + 69791337682641 = 15530926^2 + 8354121^2 .

It is a cyclic number.

It is not a de Polignac number, because 311001000100117 - 2³¹ = 310998852616469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311001000100117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311001000100187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155500500050058 + 155500500050059.

It is an arithmetic number, because the mean of its divisors is an integer number (155500500050059).

Almost surely, 2^{311001000100117} is an apocalyptic number.

It is an amenable number.

311001000100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

311001000100117 is an equidigital number, since it uses as much as digits as its factorization.

311001000100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

The spelling of 311001000100117 in words is "three hundred eleven trillion, one billion, one hundred thousand, one hundred seventeen".