311109101 has 2 divisors, whose sum is σ = 311109102. Its totient is φ = 311109100.

The previous prime is 311109079. The next prime is 311109103. The reversal of 311109101 is 101901113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284596900 + 26512201 = 16870^2 + 5149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311109101 is a prime.

It is a Sophie Germain prime.

Together with 311109103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 311109101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311109103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155554550 + 155554551.

It is an arithmetic number, because the mean of its divisors is an integer number (155554551).

Almost surely, 2^311109101 is an apocalyptic number.

It is an amenable number.

311109101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311109101 is an equidigital number, since it uses as much as digits as its factorization.

311109101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

The square root of 311109101 is about 17638.2850923779. The cubic root of 311109101 is about 677.5961118713.

The spelling of 311109101 in words is "three hundred eleven million, one hundred nine thousand, one hundred one".