312221231113321 has 2 divisors, whose sum is σ = 312221231113322. Its totient is φ = 312221231113320.

The previous prime is 312221231113279. The next prime is 312221231113327. The reversal of 312221231113321 is 123311132122213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304518030698025 + 7703200415296 = 17450445^2 + 2775464^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221231113321 - 2⁹ = 312221231112809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312221231113321.

It is not a weakly prime, because it can be changed into another prime (312221231113327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110615556660 + 156110615556661.

It is an arithmetic number, because the mean of its divisors is an integer number (156110615556661).

Almost surely, 2^{312221231113321} is an apocalyptic number.

It is an amenable number.

312221231113321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221231113321 is an equidigital number, since it uses as much as digits as its factorization.

312221231113321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 28.

Adding to 312221231113321 its reverse (123311132122213), we get a palindrome (435532363235534).

The spelling of 312221231113321 in words is "three hundred twelve trillion, two hundred twenty-one billion, two hundred thirty-one million, one hundred thirteen thousand, three hundred twenty-one".