On the first day it was posted online, a music video got 2000 views. The number of views that the video got each day increased by $21 \%$ per day. How many total views did the video get over the course of the first 13 days, to the nearest whole number?

Step 1 ：This problem is asking for the total views of a music video over the course of 13 days. The number of views increases by 21% each day. This is a geometric progression problem where the first term is 2000 and the common ratio is 1.21 (100% + 21%).

Step 2 ：The sum of the first n terms of a geometric progression can be calculated using the formula: \(S_n = a * (1 - r^n) / (1 - r)\), where \(S_n\) is the sum of the first n terms, \(a\) is the first term, \(r\) is the common ratio, and \(n\) is the number of terms.

Step 3 ：In this case, \(a = 2000\), \(r = 1.21\), and \(n = 13\).

Step 4 ：Substituting these values into the formula, we get \(S_n = 2000 * (1 - 1.21^{13}) / (1 - 1.21)\).

Step 5 ：Calculating the above expression, we find that \(S_n = 103983\).

Step 6 ：Final Answer: The total views that the video got over the course of the first 13 days is \(\boxed{103983}\).