312331221121201 has 2 divisors, whose sum is σ = 312331221121202. Its totient is φ = 312331221121200.

The previous prime is 312331221121169. The next prime is 312331221121207. The reversal of 312331221121201 is 102121122133213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291424196464801 + 20907024656400 = 17071151^2 + 4572420^2 .

It is a cyclic number.

It is not a de Polignac number, because 312331221121201 - 2⁵ = 312331221121169 is a prime.

It is not a weakly prime, because it can be changed into another prime (312331221121207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165610560600 + 156165610560601.

It is an arithmetic number, because the mean of its divisors is an integer number (156165610560601).

Almost surely, 2^{312331221121201} is an apocalyptic number.

It is an amenable number.

312331221121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331221121201 is an equidigital number, since it uses as much as digits as its factorization.

312331221121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 312331221121201 its reverse (102121122133213), we get a palindrome (414452343254414).

The spelling of 312331221121201 in words is "three hundred twelve trillion, three hundred thirty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred one".