312233442114229 has 2 divisors, whose sum is σ = 312233442114230. Its totient is φ = 312233442114228.

The previous prime is 312233442114227. The next prime is 312233442114259. The reversal of 312233442114229 is 922411244332213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159412593256900 + 152820848857329 = 12625870^2 + 12362073^2 .

It is a cyclic number.

It is not a de Polignac number, because 312233442114229 - 2¹ = 312233442114227 is a prime.

Together with 312233442114227, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312233442114227) 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, 156116721057114 + 156116721057115.

It is an arithmetic number, because the mean of its divisors is an integer number (156116721057115).

Almost surely, 2^{312233442114229} is an apocalyptic number.

It is an amenable number.

312233442114229 is a deficient number, since it is larger than the sum of its proper divisors (1).

312233442114229 is an equidigital number, since it uses as much as digits as its factorization.

312233442114229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 497664, while the sum is 43.

The spelling of 312233442114229 in words is "three hundred twelve trillion, two hundred thirty-three billion, four hundred forty-two million, one hundred fourteen thousand, two hundred twenty-nine".