312211321321 has 2 divisors, whose sum is σ = 312211321322. Its totient is φ = 312211321320.

The previous prime is 312211321319. The next prime is 312211321339. The reversal of 312211321321 is 123123112213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249380384400 + 62830936921 = 499380^2 + 250661^2 .

It is a cyclic number.

It is not a de Polignac number, because 312211321321 - 2¹ = 312211321319 is a prime.

It is a super-2 number, since 2×312211321321² (a number of 24 digits) contains 22 as substring.

Together with 312211321319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 312211321292 and 312211321301.

It is not a weakly prime, because it can be changed into another prime (312211321351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105660660 + 156105660661.

It is an arithmetic number, because the mean of its divisors is an integer number (156105660661).

Almost surely, 2^312211321321 is an apocalyptic number.

It is an amenable number.

312211321321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211321321 is an equidigital number, since it uses as much as digits as its factorization.

312211321321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 312211321321 its reverse (123123112213), we get a palindrome (435334433534).

The spelling of 312211321321 in words is "three hundred twelve billion, two hundred eleven million, three hundred twenty-one thousand, three hundred twenty-one".