312221303322037 has 2 divisors, whose sum is σ = 312221303322038. Its totient is φ = 312221303322036.

The previous prime is 312221303322023. The next prime is 312221303322113. The reversal of 312221303322037 is 730223303122213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255731558408881 + 56489744913156 = 15991609^2 + 7515966^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221303322037 - 2²⁷ = 312221169104309 is a prime.

It is a super-2 number, since 2×312221303322037² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312221303321993 and 312221303322011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312221303322007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110651661018 + 156110651661019.

It is an arithmetic number, because the mean of its divisors is an integer number (156110651661019).

Almost surely, 2^{312221303322037} is an apocalyptic number.

It is an amenable number.

312221303322037 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221303322037 is an equidigital number, since it uses as much as digits as its factorization.

312221303322037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 34.

The spelling of 312221303322037 in words is "three hundred twelve trillion, two hundred twenty-one billion, three hundred three million, three hundred twenty-two thousand, thirty-seven".