312333131102129 has 2 divisors, whose sum is σ = 312333131102130. Its totient is φ = 312333131102128.

The previous prime is 312333131102087. The next prime is 312333131102143. The reversal of 312333131102129 is 921201131333213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236686624852129 + 75646506250000 = 15384623^2 + 8697500^2 .

It is a cyclic number.

It is not a de Polignac number, because 312333131102129 - 2²⁸ = 312332862666673 is a prime.

It is not a weakly prime, because it can be changed into another prime (312333131102149) 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, 156166565551064 + 156166565551065.

It is an arithmetic number, because the mean of its divisors is an integer number (156166565551065).

Almost surely, 2^{312333131102129} is an apocalyptic number.

It is an amenable number.

312333131102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312333131102129 is an equidigital number, since it uses as much as digits as its factorization.

312333131102129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 312333131102129 in words is "three hundred twelve trillion, three hundred thirty-three billion, one hundred thirty-one million, one hundred two thousand, one hundred twenty-nine".