312141421334377 has 2 divisors, whose sum is σ = 312141421334378. Its totient is φ = 312141421334376.

The previous prime is 312141421334321. The next prime is 312141421334387. The reversal of 312141421334377 is 773433124141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166104565080336 + 146036856254041 = 12888156^2 + 12084571^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141421334377 - 2¹¹ = 312141421332329 is a prime.

It is not a weakly prime, because it can be changed into another prime (312141421334387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070710667188 + 156070710667189.

It is an arithmetic number, because the mean of its divisors is an integer number (156070710667189).

Almost surely, 2^{312141421334377} is an apocalyptic number.

It is an amenable number.

312141421334377 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141421334377 is an equidigital number, since it uses as much as digits as its factorization.

312141421334377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 46.

The spelling of 312141421334377 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty-one million, three hundred thirty-four thousand, three hundred seventy-seven".