To find the intersection of "spring" and "likes travel," we can start with the equation provided:
\[ 13100 + 77100 - x = 81100 \]
where:
- \( 13100 \) is the number of people who like spring,
- \( 77100 \) is the number of people who like traveling,
- \( x \) represents the intersection of "spring" and "likes travel" (the value we want to find),
- \( 81100 \) is the total number of people who like either spring or like traveling or both.
To solve for \( x \), we can rearrange the equation:
\[ 13100 + 77100 - 81100 = x \]
Now, calculate \( 13100 + 77100 \):
\[ 13100 + 77100 = 90200 \]
Substituting this back into the equation gives:
\[ 90200 - 81100 = x \]
Calculating \( 90200 - 81100 \):
\[ 90200 - 81100 = 9100 \]
Thus, the value of the intersection of "spring" and "likes travel" is:
\[ x = 9100 \]
So, the answer is 9100.