312122003221331 has 2 divisors, whose sum is σ = 312122003221332. Its totient is φ = 312122003221330.

The previous prime is 312122003221321. The next prime is 312122003221337. The reversal of 312122003221331 is 133122300221213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312122003221331 is a prime.

It is a super-2 number, since 2×312122003221331² (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 312122003221331.

It is not a weakly prime, because it can be changed into another prime (312122003221337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061001610665 + 156061001610666.

It is an arithmetic number, because the mean of its divisors is an integer number (156061001610666).

Almost surely, 2^{312122003221331} is an apocalyptic number.

312122003221331 is a deficient number, since it is larger than the sum of its proper divisors (1).

312122003221331 is an equidigital number, since it uses as much as digits as its factorization.

312122003221331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312122003221331 its reverse (133122300221213), we get a palindrome (445244303442544).

The spelling of 312122003221331 in words is "three hundred twelve trillion, one hundred twenty-two billion, three million, two hundred twenty-one thousand, three hundred thirty-one".