The company paid social security, but did not sign a labor contract.

Legal analysis: A company that pays social security but has not signed a labor contract may require the employer to sign a labor contract immediately and make some compensation for the period that has not been signed before. If it has not signed a contract for one month, it will be compensated twice as much as the next day, with a maximum compensation of eleven months, and a supplementary contract will be signed. Although the company has paid social security, it is also illegal to sign a labor contract.

Legal basis: Article 82 of People's Republic of China (PRC) Labor Contract Law. If the employer fails to conclude a written labor contract with the employee for more than one month and less than one year from the date of employment, it shall pay the employee twice the monthly salary. Where an employing unit violates the provisions of this Law and fails to conclude an open-ended labor contract with the laborer, it shall pay the laborer twice the salary every month from the date when the open-ended labor contract should be concluded.