312141420213841 has 2 divisors, whose sum is σ = 312141420213842. Its totient is φ = 312141420213840.

The previous prime is 312141420213811. The next prime is 312141420213869. The reversal of 312141420213841 is 148312024141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261886932092241 + 50254488121600 = 16182921^2 + 7089040^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141420213841 - 2⁷ = 312141420213713 is a prime.

It is a super-2 number, since 2×312141420213841² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312141420213841.

It is not a weakly prime, because it can be changed into another prime (312141420213811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070710106920 + 156070710106921.

It is an arithmetic number, because the mean of its divisors is an integer number (156070710106921).

Almost surely, 2^{312141420213841} is an apocalyptic number.

It is an amenable number.

312141420213841 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141420213841 is an equidigital number, since it uses as much as digits as its factorization.

312141420213841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 312141420213841 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirteen thousand, eight hundred forty-one".