312344101102249 has 2 divisors, whose sum is σ = 312344101102250. Its totient is φ = 312344101102248.

The previous prime is 312344101102213. The next prime is 312344101102343. The reversal of 312344101102249 is 942201101443213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212724937818649 + 99619163283600 = 14585093^2 + 9980940^2 .

It is a cyclic number.

It is not a de Polignac number, because 312344101102249 - 2⁹ = 312344101101737 is a prime.

It is not a weakly prime, because it can be changed into another prime (312344101102049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156172050551124 + 156172050551125.

It is an arithmetic number, because the mean of its divisors is an integer number (156172050551125).

Almost surely, 2^{312344101102249} is an apocalyptic number.

It is an amenable number.

312344101102249 is a deficient number, since it is larger than the sum of its proper divisors (1).

312344101102249 is an equidigital number, since it uses as much as digits as its factorization.

312344101102249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 312344101102249 in words is "three hundred twelve trillion, three hundred forty-four billion, one hundred one million, one hundred two thousand, two hundred forty-nine".