312333203001349 has 2 divisors, whose sum is σ = 312333203001350. Its totient is φ = 312333203001348.

The previous prime is 312333203001319. The next prime is 312333203001431. The reversal of 312333203001349 is 943100302333213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279535326876100 + 32797876125249 = 16719310^2 + 5726943^2 .

It is a cyclic number.

It is not a de Polignac number, because 312333203001349 - 2⁵ = 312333203001317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312333203001319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156166601500674 + 156166601500675.

It is an arithmetic number, because the mean of its divisors is an integer number (156166601500675).

Almost surely, 2^{312333203001349} is an apocalyptic number.

It is an amenable number.

312333203001349 is a deficient number, since it is larger than the sum of its proper divisors (1).

312333203001349 is an equidigital number, since it uses as much as digits as its factorization.

312333203001349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 37.

The spelling of 312333203001349 in words is "three hundred twelve trillion, three hundred thirty-three billion, two hundred three million, one thousand, three hundred forty-nine".