312212322430033 has 2 divisors, whose sum is σ = 312212322430034. Its totient is φ = 312212322430032.

The previous prime is 312212322430013. The next prime is 312212322430051. The reversal of 312212322430033 is 330034223212213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162004453241409 + 150207869188624 = 12728097^2 + 12255932^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212322430033 - 2⁹ = 312212322429521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312212322429977 and 312212322430004.

It is not a weakly prime, because it can be changed into another prime (312212322430003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106161215016 + 156106161215017.

It is an arithmetic number, because the mean of its divisors is an integer number (156106161215017).

Almost surely, 2^{312212322430033} is an apocalyptic number.

It is an amenable number.

312212322430033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212322430033 is an equidigital number, since it uses as much as digits as its factorization.

312212322430033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 312212322430033 its reverse (330034223212213), we get a palindrome (642246545642246).

The spelling of 312212322430033 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred twenty-two million, four hundred thirty thousand, thirty-three".