Can I apply for unemployment insurance and apply for social security from a company?

Legal analysis: after receiving unemployment benefits, you can continue to pay social security after finding a new work unit. The employing unit shall, within 30 days from the date of employment, apply to the social insurance agency for social insurance registration for its employees.

Legal basis: Article 58 of People's Republic of China (PRC) Social Insurance Law. The employing unit shall handle social insurance registration for employees within 30 days from the date of employment. If the social insurance has not been registered, the social insurance agency shall verify the social insurance premium it should pay.

Employees-free individual industrial and commercial households who voluntarily participate in social insurance, part-time employees who do not participate in social insurance in the employing unit and other flexible employees shall apply to the social insurance agency for social insurance registration.