Clause 5, Article 21 of the 2014 Law on Social Insurancestipulates the responsibilities of employers as follows: "To coordinate with social insurance agencies in returning social insurance books to and certifying periods of social insurance premium payment for employees who terminate labor contracts or working contracts or cease working in accordance with law.”
Thus, when the employee terminates the labor contract or resigns/cease working in accordance with law, the employer shall have to fill in a dossier proposing the closing of their social insurance book to be submitted to the social insurance agency for closing the book and giving it to the employees.
When you move to Long An, if you continue to work in another company and have a labor contract for a full 3 months or more, then the new company is obliged to pay compulsory social insurance premiums for you.
In case you are not working, you can join voluntary social insurance scheme or reserve the time participated in social insurance to wait for your pension when qualified.