I accidentally set my order #136105230180Y0401680 which I just placed as received when I intended to do that with a different order. Will it affect anything? Can I change it back to "Awaiting invoice"?

It's not going to change anything much. It's only there for you to keep track of your order.
The seller will see it as "received" and might get confused.

But overall it makes very little difference.

Julien