DSi: The Internet Conundrum and error code 051300-1

So, it's already 16 hours into Easter Sunday. Around 12 hours in, I finally acquired my DSi and charged the sucker. However, that 15th hour was when the battle began.

See, my house has Verizon FiOS, possibly one of the most unfriendly non-computer wireless internet access points I've had to fight with (and even when friends visit with laptops in hand, I often am bombarded with "WHY CAN'T I GET ONLINE? WHY DO I NEED TO MAINLINE YOUR ROUTER?" fits).

While preparing to write this update, I tried in earnest to find my WEP key and log on. Only to find that my first router instance gave me a giant middle finger, between connection quality and allowing me to actually connect, whenever I'd test the connection settings. 051300-1, you're on my list.

After going to Nintendo's service page (not helpful, though the people who are on their phone lines are extremely so, to the point where I emailed the support staff at Nintendo after one of their representatives helped me with their WiFi USB connector last year to thank the service member who'd helped me through the process), calling to find the offices were closed for the holiday and basically giving up hope, I tryed resetting the connection. And found the scroll menu had my router listed twice. Oh.

The second connection was also A+++++++, causing my internet connection to somehow supercharge itself and load pages before I even went to them. Ok, that's an exaggeration, but updating my firmware was now possible to do and an enjoyable thing to do.

Still don't have anything downloaded, but hopefully this tidbit helps anyone who has a DSi and may be confounded by finding error code #051300-1 stopping their gameplay and internet dreams.

Edit: Because apparently The Internet is sending people to my blog to fix this error and my advice of, "I had my router appear twice in my available WiFi hotspots and I clicked the second one, which allowed the problem to fix itself," isn't helpful, here is the link to Nintendo's official fix for the error.

Two notes from the official page that may be helpful (particularly in one commenter's case):
"Did this connection used to work but has suddenly stopped? 'Power cycle' your router and modem. To do this, unplug both the modem and the router from the power outlet. Wait a few minutes, and plug the modem back in. Wait a couple of minutes for the modem to initialize, then plug in the router. Try to connect the Wii, Nintendo DS, or Nintendo 3DS online and test for proper response."

The official Nintendo page on router access breaks down troubleshooting by router brand. Hopefully this helps people still getting sent to my blog looking for a fix; it didn't work for me, but apparently my problem was not the one advertised.