312343324032221 has 2 divisors, whose sum is σ = 312343324032222. Its totient is φ = 312343324032220.

The previous prime is 312343324032133. The next prime is 312343324032251. The reversal of 312343324032221 is 122230423343213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236344071792196 + 75999252240025 = 15373486^2 + 8717755^2 .

It is a cyclic number.

It is not a de Polignac number, because 312343324032221 - 2⁴² = 307945277521117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312343324032251) 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, 156171662016110 + 156171662016111.

It is an arithmetic number, because the mean of its divisors is an integer number (156171662016111).

Almost surely, 2^{312343324032221} is an apocalyptic number.

It is an amenable number.

312343324032221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312343324032221 is an equidigital number, since it uses as much as digits as its factorization.

312343324032221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 312343324032221 its reverse (122230423343213), we get a palindrome (434573747375434).

The spelling of 312343324032221 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred twenty-four million, thirty-two thousand, two hundred twenty-one".