312141432322129 has 2 divisors, whose sum is σ = 312141432322130. Its totient is φ = 312141432322128.

The previous prime is 312141432322103. The next prime is 312141432322177. The reversal of 312141432322129 is 921223234141213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306058929811600 + 6082502510529 = 17494540^2 + 2466273^2 .

It is an emirp because it is prime and its reverse (921223234141213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312141432322129 - 2⁴³ = 303345339299921 is a prime.

It is a super-2 number, since 2×312141432322129² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312141432322091 and 312141432322100.

It is not a weakly prime, because it can be changed into another prime (312141432122129) 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, 156070716161064 + 156070716161065.

It is an arithmetic number, because the mean of its divisors is an integer number (156070716161065).

Almost surely, 2^{312141432322129} is an apocalyptic number.

It is an amenable number.

312141432322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141432322129 is an equidigital number, since it uses as much as digits as its factorization.

312141432322129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 40.

The spelling of 312141432322129 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty-nine".