There is no direct upgrade path from 2013 to 2019. First, you should migrate service applications from 2013 to 2016. Then migrate service applications from 2016 to 2019.
1.Migrate service applications from 2013 to 2016
Reference: https://learn.microsoft.com/en-us/sharepoint/upgrade-and-update/upgrade-service-applications-to-sharepoint-server-2016#about-upgrading-the-service-application-databases
2.Migrate service applications from 2016 to 2019.
Reference: https://learn.microsoft.com/en-us/sharepoint/upgrade-and-update/upgrade-service-applications-to-sharepoint-server-2019#about-upgrading-the-service-application-databases
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