312133224233 has 2 divisors, whose sum is σ = 312133224234. Its totient is φ = 312133224232.

The previous prime is 312133224203. The next prime is 312133224281. The reversal of 312133224233 is 332422331213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235421951209 + 76711273024 = 485203^2 + 276968^2 .

It is a cyclic number.

It is not a de Polignac number, because 312133224233 - 2³⁸ = 37255317289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312133224196 and 312133224205.

It is not a weakly prime, because it can be changed into another prime (312133224203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066612116 + 156066612117.

It is an arithmetic number, because the mean of its divisors is an integer number (156066612117).

Almost surely, 2^312133224233 is an apocalyptic number.

It is an amenable number.

312133224233 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133224233 is an equidigital number, since it uses as much as digits as its factorization.

312133224233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 29.

Adding to 312133224233 its reverse (332422331213), we get a palindrome (644555555446).

The spelling of 312133224233 in words is "three hundred twelve billion, one hundred thirty-three million, two hundred twenty-four thousand, two hundred thirty-three".