312310312033 has 2 divisors, whose sum is σ = 312310312034. Its totient is φ = 312310312032.

The previous prime is 312310312009. The next prime is 312310312091. The reversal of 312310312033 is 330213013213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269992473664 + 42317838369 = 519608^2 + 205713^2 .

It is a cyclic number.

It is not a de Polignac number, because 312310312033 - 2³⁷ = 174871358561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312310311995 and 312310312013.

It is not a weakly prime, because it can be changed into another prime (312310312733) 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, 156155156016 + 156155156017.

It is an arithmetic number, because the mean of its divisors is an integer number (156155156017).

Almost surely, 2^312310312033 is an apocalyptic number.

It is an amenable number.

312310312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312310312033 is an equidigital number, since it uses as much as digits as its factorization.

312310312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 312310312033 its reverse (330213013213), we get a palindrome (642523325246).

The spelling of 312310312033 in words is "three hundred twelve billion, three hundred ten million, three hundred twelve thousand, thirty-three".