312223420101289 has 2 divisors, whose sum is σ = 312223420101290. Its totient is φ = 312223420101288.

The previous prime is 312223420101287. The next prime is 312223420101323. The reversal of 312223420101289 is 982101024322213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312152393587225 + 71026514064 = 17667835^2 + 266508^2 .

It is a cyclic number.

It is not a de Polignac number, because 312223420101289 - 2¹ = 312223420101287 is a prime.

Together with 312223420101287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312223420101287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111710050644 + 156111710050645.

It is an arithmetic number, because the mean of its divisors is an integer number (156111710050645).

Almost surely, 2^{312223420101289} is an apocalyptic number.

It is an amenable number.

312223420101289 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223420101289 is an equidigital number, since it uses as much as digits as its factorization.

312223420101289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 312223420101289 in words is "three hundred twelve trillion, two hundred twenty-three billion, four hundred twenty million, one hundred one thousand, two hundred eighty-nine".