Yes, 311 is a prime number, meaning it has exactly two distinct positive divisors: 1 and itself.
It is the 64th prime number and is classified as a twin prime with 313, an irregular prime, an emirp, an Eisenstein prime, a Gaussian prime, and a permutable prime with 113 and 131.
311 is also the smallest positive integer $d$ such that the imaginary quadratic field $\mathbb{Q}(\sqrt{-d})$ has class number 19.
Additionally, it can be expressed as the sum of consecutive primes in four different ways: as the sum of three consecutive primes (101 + 103 + 107), five consecutive primes (53 + 59 + 61 + 67 + 71), seven consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59), and eleven consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).