The normal translations of Romans 13 are naive at best, and outright malicious at worst (remember that the original translations of the Bible to English were state-funded). This article is a bit long, but it's an excellent analysis which looks not only at the Greek in Romans 13, but also brings up the wider context of Jewish law, which Paul's original audience (at least the Jews therein) would have been familiar with. That context helped them understand what Paul meant.
That article is a must-read if you are concerned with integrating Romans 13 with anarchy. Or if you're just concerned about understanding Romans 13 when the modern translations seem to tell us Hitler was God's agent for good.
Wow. What an excellent article. I must study this a lot more.