A novel soybean cultivar, designated SO22213, is disclosed. The invention relates to the seeds of soybean cultivar SO22213, to the plants of soybean SO22213 and to methods for producing a soybean plant produced by crossing the cultivar SO22213 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar SO22213 with another soybean cultivar.