How to fix Windows 10 update error 0x80070013?

Hi,

My name is Gary an independent advisor and I would be happy to help you out with your concern,

Open cmd by searching "cmd" on the start menu, make sure to run it as administrator
Execute this command on the command prompt

DISM /Online /Cleanup-Image /RestoreHealth

Run these commands on the command prompt to restart windows update services

net stop bits
net stop cryptsvc
net stop wuauserv
net stop msiserver
Ren C:\Windows\SoftwareDistribution SoftwareDistribution.old
Ren C:\Windows\System32\catroot2 Catroot2.old
net start bits
net start cryptsvc
net start wuauserv
net start msiserver

After successfully executing the commands, I would suggest performing a clean boot to disable third party background services that may be interrupting with the windows update services

1. Go to start menu/search msconfig
2. On the system configuration window go to the services tab
3. Tick on hide all microsoft service so that this won't be affected
4. Choose to disable all services
5. Next, go to the startup tab and on the window choose to open task manager
6. Choose to disable each applications from starting up when computer is booting up
7. Close task manager and hit apply then ok
8. A prompt to restart the computer will show up, choose to restart

This should restart the computer with minimal third party services starting up right after windows boots up. Once the system boots up. After this, try to update again.

In the event that it still fails, I would suggest performing an in-place upgrade, this process overrides the system files which would fix corruptions or damages within the system files/packages while updating the system to the latest version of windows 10.

To perform an in-place upgrade,

1. Open this link https://www.microsoft.com/en-us/software-downlo...
2. Select Download tool, and select Run. You need to be an administrator to run this tool.
3. On the License terms page, if you accept the license terms, select Accept.
4. On the What do you want to do? page, select Upgrade this PC now, and then select Next.
5. After downloading and installing, the tool will walk you through how to set up Windows 10 on your PC.
6. When Windows 10 is ready to install, you'll have an option to keep your personal files and apps, keep personal files, or to keep nothing during the upgrade
7. The process would take a while and may consist of multiple reboots. Make sure that there won't be interruption within the process to make sure that everything would sort everything out

Let me know how it goes. :)