How to find my iPhone's memory files when iTunes has been deleted?

I upgraded my iPhone to iOS9, but it did the upgrade loop glitch, and I had to reset it. I tried to restore it from backup, but it said my version of iTunes was too old. I went to download the newest version (12.1.3 at the time) but my computer needs to be wiped, because it had a virus and now I can't download programs like a windows update, or iTunes.
MY QUESTION: How can I get my iPhone's backup without having iTunes on my computer? The version I have now is corrupted and I can't open it.

There's a chance that once you download the itunes again your data maybe be stored there. I mean what if the data is already stored in your pc and downloading itunes again gives you the access to those back-up again. It's a possibility but don't count on it.

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