3112003102193 has 2 divisors, whose sum is σ = 3112003102194. Its totient is φ = 3112003102192.

The previous prime is 3112003102177. The next prime is 3112003102211. The reversal of 3112003102193 is 3912013002113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2356369292209 + 755633809984 = 1535047^2 + 869272^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112003102193 - 2⁴ = 3112003102177 is a prime.

It is not a weakly prime, because it can be changed into another prime (3112003102163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556001551096 + 1556001551097.

It is an arithmetic number, because the mean of its divisors is an integer number (1556001551097).

Almost surely, 2^{3112003102193} is an apocalyptic number.

It is an amenable number.

3112003102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112003102193 is an equidigital number, since it uses as much as digits as its factorization.

3112003102193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 3112003102193 in words is "three trillion, one hundred twelve billion, three million, one hundred two thousand, one hundred ninety-three".