312310321 has 2 divisors, whose sum is σ = 312310322. Its totient is φ = 312310320.

The previous prime is 312310283. The next prime is 312310331. The reversal of 312310321 is 123013213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214300321 + 98010000 = 14639^2 + 9900^2 .

It is an emirp because it is prime and its reverse (123013213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312310321 - 2²³ = 303921713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312310295 and 312310304.

It is not a weakly prime, because it can be changed into another prime (312310331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155160 + 156155161.

It is an arithmetic number, because the mean of its divisors is an integer number (156155161).

Almost surely, 2^312310321 is an apocalyptic number.

It is an amenable number.

312310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312310321 is an equidigital number, since it uses as much as digits as its factorization.

312310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 312310321 is about 17672.3037830386. The cubic root of 312310321 is about 678.4670782222.

Adding to 312310321 its reverse (123013213), we get a palindrome (435323534).

The spelling of 312310321 in words is "three hundred twelve million, three hundred ten thousand, three hundred twenty-one".