312322303303121 has 2 divisors, whose sum is σ = 312322303303122. Its totient is φ = 312322303303120.

The previous prime is 312322303303097. The next prime is 312322303303141. The reversal of 312322303303121 is 121303303223213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261861525522496 + 50460777780625 = 16182136^2 + 7103575^2 .

It is a cyclic number.

It is not a de Polignac number, because 312322303303121 - 2¹⁴ = 312322303286737 is a prime.

It is a super-2 number, since 2×312322303303121² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312322303303141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156161151651560 + 156161151651561.

It is an arithmetic number, because the mean of its divisors is an integer number (156161151651561).

Almost surely, 2^{312322303303121} is an apocalyptic number.

It is an amenable number.

312322303303121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312322303303121 is an equidigital number, since it uses as much as digits as its factorization.

312322303303121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 312322303303121 its reverse (121303303223213), we get a palindrome (433625606526334).

The spelling of 312322303303121 in words is "three hundred twelve trillion, three hundred twenty-two billion, three hundred three million, three hundred three thousand, one hundred twenty-one".