312001321 has 2 divisors, whose sum is σ = 312001322. Its totient is φ = 312001320.

The previous prime is 312001243. The next prime is 312001351. The reversal of 312001321 is 123100213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298598400 + 13402921 = 17280^2 + 3661^2 .

It is a cyclic number.

It is not a de Polignac number, because 312001321 - 2⁹ = 312000809 is a prime.

It is not a weakly prime, because it can be changed into another prime (312001351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000660 + 156000661.

It is an arithmetic number, because the mean of its divisors is an integer number (156000661).

Almost surely, 2^312001321 is an apocalyptic number.

It is an amenable number.

312001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001321 is an equidigital number, since it uses as much as digits as its factorization.

312001321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312001321 is about 17663.5591260652. The cubic root of 312001321 is about 678.2432458216.

Adding to 312001321 its reverse (123100213), we get a palindrome (435101534).

The spelling of 312001321 in words is "three hundred twelve million, one thousand, three hundred twenty-one".