312233222210033 has 2 divisors, whose sum is σ = 312233222210034. Its totient is φ = 312233222210032.

The previous prime is 312233222209969. The next prime is 312233222210101. The reversal of 312233222210033 is 330012222332213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311352659555344 + 880562654689 = 17645188^2 + 938383^2 .

It is a cyclic number.

It is not a de Polignac number, because 312233222210033 - 2⁶ = 312233222209969 is a prime.

It is a super-2 number, since 2×312233222210033² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312233222209978 and 312233222210005.

It is not a weakly prime, because it can be changed into another prime (312233222210233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116611105016 + 156116611105017.

It is an arithmetic number, because the mean of its divisors is an integer number (156116611105017).

Almost surely, 2^{312233222210033} is an apocalyptic number.

It is an amenable number.

312233222210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312233222210033 is an equidigital number, since it uses as much as digits as its factorization.

312233222210033 is an odious number, because the sum of its binary digits is odd.

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

Adding to 312233222210033 its reverse (330012222332213), we get a palindrome (642245444542246).

The spelling of 312233222210033 in words is "three hundred twelve trillion, two hundred thirty-three billion, two hundred twenty-two million, two hundred ten thousand, thirty-three".