312141214410017 has 2 divisors, whose sum is σ = 312141214410018. Its totient is φ = 312141214410016.

The previous prime is 312141214409989. The next prime is 312141214410019. The reversal of 312141214410017 is 710014412141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310626207917281 + 1515006492736 = 17624591^2 + 1230856^2 .

It is an emirp because it is prime and its reverse (710014412141213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312141214410017 - 2¹⁴ = 312141214393633 is a prime.

Together with 312141214410019, 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 (312141214410019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070607205008 + 156070607205009.

It is an arithmetic number, because the mean of its divisors is an integer number (156070607205009).

Almost surely, 2^{312141214410017} is an apocalyptic number.

It is an amenable number.

312141214410017 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141214410017 is an equidigital number, since it uses as much as digits as its factorization.

312141214410017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 312141214410017 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred fourteen million, four hundred ten thousand, seventeen".