312221404202041 has 2 divisors, whose sum is σ = 312221404202042. Its totient is φ = 312221404202040.

The previous prime is 312221404201981. The next prime is 312221404202051. The reversal of 312221404202041 is 140202404122213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170965326787641 + 141256077414400 = 13075371^2 + 11885120^2 .

It is an emirp because it is prime and its reverse (140202404122213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312221404202041 - 2³⁷ = 312083965248569 is a prime.

It is not a weakly prime, because it can be changed into another prime (312221404202051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110702101020 + 156110702101021.

It is an arithmetic number, because the mean of its divisors is an integer number (156110702101021).

Almost surely, 2^{312221404202041} is an apocalyptic number.

It is an amenable number.

312221404202041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221404202041 is an equidigital number, since it uses as much as digits as its factorization.

312221404202041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 312221404202041 its reverse (140202404122213), we get a palindrome (452423808324254).

The spelling of 312221404202041 in words is "three hundred twelve trillion, two hundred twenty-one billion, four hundred four million, two hundred two thousand, forty-one".