It wasn't a Kindle, but another country's prepaid SIM that I continued using while in Japan. Phone companies in Japan don't do prepaid: only phone rentals by the day, or 2 year subscriptions. Neither of those were suitable for the 2 months I lived there.
Some international SIM cards would run out of balance and send an SMS as a warning. But others would redirect me to a topup page. Let's just say that wasn't the only page that was available, and the "send this page to a friend" email function is very convenient when Japanese phones have incoming email addresses for sending email-to-SMS.
Google calendar used to be a great way to get free email-to-RSS-to-SMS notifications, but that shut down a couple of years ago unfortunately.