January in Batavia is the snowiest, the windiest, the cloudiest, and the most freezing month of the year. In January, the weather in Batavia is typically freezing. Average daily high temperature in January is about 2 degrees below zero. On average, Batavia has 18 snowy, 9 cloudy, 3 rainy, and 1 sunny day in January. The snowfalls are usually light.