You don't have to install all the old ones just install the security update for SharePoint Server 2013 and make sure you have SP1 installed on your Server before installing this CU.

I am providing the month old CU to be safe. It always go with at least month old CU for SharePoint 2013 farm.

https://support.microsoft.com/en-us/help/4484408/june-9-2020-cumulative-update-for-sharepoint-enterprise-server-2013-kb- June 9th, 2020 Cumulative Update

Make sure you have sp1 installed on your SharePoint 2013 Server's before installing the above CU.

https://support.microsoft.com/en-us/help/2880552/description-of-microsoft-sharepoint-server-2013-service-pack-1-sp1

Thanks & Regards,

Hi SharkDev,

You don't need to install all old CU, you just need to instll SP1. Please check the build number of your current farm.

Please offer a screenshot about the error message when you install Security Update for Microsoft SharePoint Enterprise Server 2013 (KB4484443).

To apply this security update, you must have the release version ofService Pack 1 for Microsoft SharePoint Server 2013installed on the computer.

Reference:

https://support.microsoft.com/en-us/help/4484443/security-update-for-sharepoint-server-2013-july-14-2020

This “SharePoint 2013 - Setup, Upgrade, Administration and Operations” Forum will be migrating to a new home onMicrosoft Q&A,please refer to thissticky postfor more details.

Best Regards,

Lisa Chen

Hello,

This forum will be locked down, if you still have issues about this question, you can continue to post in here before 8/10/2020. It is recommended to create a new question onMicrosoft Q&A, we will continue to support you on the new home.

Best Regards,

Michael Han