My last couple of phones have had a separate setting to disable "data roaming" (though I turn data off in addition anyway). I don't know the S4's menus, but would assume it has this too.
To add to what Hamiddg says, you get options to turn auto updates off completely (which I always do anyway - I like to see what's changed before deciding whether to update or not) or to only auto update on WiFi, which may also suit you.
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