312001313321 has 2 divisors, whose sum is σ = 312001313322. Its totient is φ = 312001313320.

The previous prime is 312001313311. The next prime is 312001313341. The reversal of 312001313321 is 123313100213.

It is an a-pointer prime, because the next prime (312001313341) can be obtained adding 312001313321 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214981522921 + 97019790400 = 463661^2 + 311480^2 .

It is a cyclic number.

It is not a de Polignac number, because 312001313321 - 2⁶ = 312001313257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312001313293 and 312001313302.

It is not a weakly prime, because it can be changed into another prime (312001313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000656660 + 156000656661.

It is an arithmetic number, because the mean of its divisors is an integer number (156000656661).

Almost surely, 2^312001313321 is an apocalyptic number.

It is an amenable number.

312001313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001313321 is an equidigital number, since it uses as much as digits as its factorization.

312001313321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312001313321 its reverse (123313100213), we get a palindrome (435314413534).

The spelling of 312001313321 in words is "three hundred twelve billion, one million, three hundred thirteen thousand, three hundred twenty-one".