Social security stop paying for a new company in a different place

This is possible, but some social security agencies will ask you to show a certificate of separation from your previous location's workplace and a staff reduction form, because they are afraid of trouble afterward. But some social security agencies don't have so much to do. However, it is recommended that after you pay the new insurance, you should consolidate the ones you have paid before, and the former organization will issue your certificate of termination of labor contract and a list of contributions and the relevant social security card, which will be handed over to the personnel department of the new company for them to transfer the insurance for you.

Extended reading: insurance how to buy, which is good, hand to teach you to avoid the insurance of these "pits"