New iPhone 6s won't connect to iTunes?

I got a new iPhone 6s last week and gave my old iPhone 5 to my sister but my new one will not connect to iTunes. When I connect it to my computer and launch iTunes a message comes up and says that the phone needs a newer version of iTunes, even though I checked for updates and said it was up to date. Anyway, I deleted and re-intsalled iTunes and plugged in my phone but the same message appears. What do I do to fix the problem?

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