I have office 365 business essentials subscription and I was trying to install SharePoint designer 2013 on windows10.For some reason I wasn't able to install it after downloading the software. Any help is appreciated, thanks!
Since you're an O365 subscriber, you're on SharePoint Online - which does not support SP Designer. Designer is ok for SP on-prem 2013, not very reliable on 2016, and is a discontinued application. In Office 365, Flow and PowerApps provide the modern replacement for Designer.
This is not true. you can use SPD 2013 for 2016 online and it works fine. I had to download the latest version to use and there was a patch. Here is a link to show you how to install it. You will need to make sure you have the August 2016 patch and it will work just fine.