311313312331 has 16 divisors (see below), whose sum is σ = 357824355840. Its totient is φ = 265315392000.

The previous prime is 311313312319. The next prime is 311313312347. The reversal of 311313312331 is 133213313113.

It is a cyclic number.

It is not a de Polignac number, because 311313312331 - 2¹³ = 311313304139 is a prime.

It is a super-2 number, since 2×311313312331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311313312296 and 311313312305.

It is not an unprimeable number, because it can be changed into a prime (311313312931) 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 in 15 ways as a sum of consecutive naturals, for example, 860250 + ... + 1167328.

It is an arithmetic number, because the mean of its divisors is an integer number (22364022240).

Almost surely, 2^311313312331 is an apocalyptic number.

311313312331 is a deficient number, since it is larger than the sum of its proper divisors (46511043509).

311313312331 is a wasteful number, since it uses less digits than its factorization.

311313312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307914.

The product of its digits is 1458, while the sum is 25.

Adding to 311313312331 its reverse (133213313113), we get a palindrome (444526625444).

The spelling of 311313312331 in words is "three hundred eleven billion, three hundred thirteen million, three hundred twelve thousand, three hundred thirty-one".