311322321 has 12 divisors (see below), whose sum is σ = 450384948. Its totient is φ = 207226464.

The previous prime is 311322301. The next prime is 311322359. The reversal of 311322321 is 123223113.

311322321 is a `hidden beast` number, since 311 + 32 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182250000 + 129072321 = 13500^2 + 11361^2 .

It is not a de Polignac number, because 311322321 - 2⁵ = 311322289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311322294 and 311322303.

It is not an unprimeable number, because it can be changed into a prime (311322301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20610 + ... + 32363.

It is an arithmetic number, because the mean of its divisors is an integer number (37532079).

Almost surely, 2^311322321 is an apocalyptic number.

It is an amenable number.

311322321 is a deficient number, since it is larger than the sum of its proper divisors (139062627).

311322321 is a wasteful number, since it uses less digits than its factorization.

311322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53632 (or 53629 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 311322321 is about 17644.3282955175. The cubic root of 311322321 is about 677.7508743529.

Adding to 311322321 its reverse (123223113), we get a palindrome (434545434).

The spelling of 311322321 in words is "three hundred eleven million, three hundred twenty-two thousand, three hundred twenty-one".