312141403999961 has 2 divisors, whose sum is σ = 312141403999962. Its totient is φ = 312141403999960.

The previous prime is 312141403999933. The next prime is 312141404000071. The reversal of 312141403999961 is 169999304141213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281948796751561 + 30192607248400 = 16791331^2 + 5494780^2 .

It is an emirp because it is prime and its reverse (169999304141213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312141403999961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312141403999894 and 312141403999903.

It is not a weakly prime, because it can be changed into another prime (312141403999921) 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, 156070701999980 + 156070701999981.

It is an arithmetic number, because the mean of its divisors is an integer number (156070701999981).

Almost surely, 2^{312141403999961} is an apocalyptic number.

It is an amenable number.

312141403999961 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141403999961 is an equidigital number, since it uses as much as digits as its factorization.

312141403999961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11337408, while the sum is 62.

The spelling of 312141403999961 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred three million, nine hundred ninety-nine thousand, nine hundred sixty-one".