312333432323441 has 2 divisors, whose sum is σ = 312333432323442. Its totient is φ = 312333432323440.

The previous prime is 312333432323411. The next prime is 312333432323443. The reversal of 312333432323441 is 144323234333213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304100549833441 + 8232882490000 = 17438479^2 + 2869300^2 .

It is a cyclic number.

It is not a de Polignac number, because 312333432323441 - 2⁴⁶ = 241964688145777 is a prime.

Together with 312333432323443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312333432323443) 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, 156166716161720 + 156166716161721.

It is an arithmetic number, because the mean of its divisors is an integer number (156166716161721).

Almost surely, 2^{312333432323441} is an apocalyptic number.

It is an amenable number.

312333432323441 is a deficient number, since it is larger than the sum of its proper divisors (1).

312333432323441 is an equidigital number, since it uses as much as digits as its factorization.

312333432323441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1119744, while the sum is 41.

Adding to 312333432323441 its reverse (144323234333213), we get a palindrome (456656666656654).

The spelling of 312333432323441 in words is "three hundred twelve trillion, three hundred thirty-three billion, four hundred thirty-two million, three hundred twenty-three thousand, four hundred forty-one".