How to get my iphone to work again?

I just turned my iphone on and there's this notification that says "This iphone hasn't been backed up. Backups happen when this iphone is plugged in, locked and connected to Wi-Fi." i pressed ok but it won't go away, it's like my touch has no effect on the phone. I tried turning it off but when it says slide to turn off the screen won't follow my finger. I have no idea how to fix this.

Hold the CIRCLE and POWER BUTTON until the Apple logo appears (it's a long time, KEEP HOLDING and touch nothing else).

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