3. Among the one million natural numbers from 1 to 1000000, are there more numbers that can be divided by 11 but not by 13, or more numbers that can be divided by 13 but not by 11?
3. Among the one million natural numbers from 1 to $10^{6}$, the numbers that can be divided by 11 but not by 13 are more than the numbers that can be divided by 13 but not by 11.

In fact, let the number of such numbers be $A$ and $B$, respectively, and the number of numbers from 1 to $10^{6}$ that can be divided by both 11 and 13 be $C$. Then $A + C$ is the number of numbers that can be divided by 11, and $B + C$ is the number of numbers that can be divided by 13. Clearly, $A + C > B + C$. Therefore, $A > B$.