Mobile vs Website

Why is a mobile app more powerful than a website? At first it sounded un-intuitive to me. My reasons were that mobile has limitations due to a smaller screen, low computation power than a laptop and not having a keyboard further slows down typing on a mobile.
Me and my company's co-founder knew that ecommerce companies are going to mobile apps, as apps constitute majority of their revenue curves. I was struggling to map this trend with my intuition. What makes a mobile app more preferred over website to an end user.

We jotted down following reasons in next 15 mins:

	Mobile App	Website
User Attributes	Geolocation is more readily available. User is by default logged in	Cookies from other websites are availabile but their use may be limited. User logged-in is not necessary
Ease of giving inputs to device	Unless app requires you to type, it is very easy to just tap-tap and proceed to the next action	Moving mouse pointer and clicking is not so intuitive. However, it wins if user needs to type
Power to create what you want	Runs on Java SDK - very powerful in what all you can do locally at the device (you can even create a game on the same interface)	Runs on Javascript/HTML/CSS - this is pretty much a bottleneck to create something very dynamic. You will have to rely on remote servers for most of the amazing stuff happening on the browser
Availability	Mobiles are always with you. You are hooked on to them when not doing anything	You are not always on a laptop. When you are, you are most likely doing something. High inertia to open a laptop and do something than to just do it on mobile
Accessibility	Mobiles are cheap and internet comes to them by default in SIM	Laptops are costly and not all people buy it. People have to learn OS as a separate task and get an internet specifically. Initial barrier is high.
Notification	Apps can push notifications on mobiles, you are most likely to see them	Websites don't push notifications unless you are on them. They notify mostly using emails and that is not so optimum
Screen Size	Personally I feel that small screen sizes makes you focus on what is really the next important action item in the workflow and pushes you to do it (esp in a nicely designed app)	Websites are cluttered and have to be designed to cover the complete screen and also have to comply to natural reading pattern of the user on a larger screen. Digital ads make clutter worse

Looking forward to mobile app getting bigger than websites. Google, whose majority revenue comes from websearch is cautious and is trying to win mobile by Google Now :)