312233012222321 has 2 divisors, whose sum is σ = 312233012222322. Its totient is φ = 312233012222320.

The previous prime is 312233012222273. The next prime is 312233012222387. The reversal of 312233012222321 is 123222210332213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288221924410000 + 24011087812321 = 16977100^2 + 4900111^2 .

It is a cyclic number.

It is not a de Polignac number, because 312233012222321 - 2²² = 312233008028017 is a prime.

It is a super-2 number, since 2×312233012222321² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312233012222921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116506111160 + 156116506111161.

It is an arithmetic number, because the mean of its divisors is an integer number (156116506111161).

Almost surely, 2^{312233012222321} is an apocalyptic number.

It is an amenable number.

312233012222321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312233012222321 is an equidigital number, since it uses as much as digits as its factorization.

312233012222321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 312233012222321 its reverse (123222210332213), we get a palindrome (435455222554534).

The spelling of 312233012222321 in words is "three hundred twelve trillion, two hundred thirty-three billion, twelve million, two hundred twenty-two thousand, three hundred twenty-one".