Usually 12 volts dc so your 13 volt reading is likely correct.
Garage door push button voltage.
The voltage to the sensors is usually transformed at the main opener to low voltage probably dc but maybe ac.
The universal remote button kits you speak of are not going to handle the higher voltage associated with the older model opener unless it is powered.
Although the bush button system operates on low voltage always un plug the garage door opener and lock the garage door before starting any repairs or work on with the garage door or the garage door opener.
The electrical rep at the home center said the doorbell and garage button are the same.
All available were rated 16v max.
Loosen the two terminal screws on the side of the opener where the bell wire attaches using a screwdriver.
Always practice good safety when working on or around your garage door and or your garage door opener.
Locate the bell wire that connects the wall switch to the garage door opener.
Depending on the model most work by connecting two to four wires onto terminals mounting the device on the wall and then plugging the unit into an electrical outlet.
Universal garage door opener led light bulb.
Universal garage door opener interior wall push button.
Garage door plug in wireless receiver color sample in white.