Apple is now rolling out iOS and iPadOS 13.3 to compatible devices. The OTA update size, at least on our iPhone XR, was around 695MB but the number will vary with the device.
As with most of the updates that came since iOS 13 released two months ago, 13.3 primarily focuses on fixing all the bugs that continue to plague the OS. There's a laundry list of them, which we can't all mention here, but you can find some of them being mentioned in the update log in the screenshots below.
Apart from those, the update also brings additional options for parental controls in the Screen Time menu, which allows you to control who your children can call, FaceTime or message. You can also manage the exact contacts that appear on your children's devices. There are also some new layout options as well as ability to like and dislike stories in the Apple News app and Stories from Apple News in the Stocks app.
Apple is also rolling out watchOS 6.1.1, tvOS 13.3, HomePod OS 13.3, and macOS 10.15.2 today. All these updates are now available to download on compatible devices.