Cannot connect Apple Pen through Iphone 13

I tried to connect my Apple Pencil, which have been successfully connected through my ipad before, to my IPhone 13. No notifications showed up every time I tried to connect it. I checked the ‘Other Devices’ section through my Bluetooth. No Apple Pencil appeared in my options. I even tried charging the Apple Pencil once again before re-entering through the charging slot. Still no results. Why is that?