There are over $$1000$$ students at my school. When~ the number of students is divided by $$10$$， the remainder is $$3$$． When~ the number is divided by $$13$$， the remainder is $$3$$. What is the remainder when the number is divided by $$130$$？ 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder 
When $$10$$ students or$$13$$ students are in a group, there are always $$3$$ students remained. It means that if we subtract $$3$$ from the total number, the result is a common multiple of $$10$$ and $$13$$. Therefore when there are $$130$$ in one group, there are still$$\textasciitilde3$$ students remained. 