Billingsley was on the disabled list with a contusion on his right index finger.
Tuesday marks the seventh time the Dodgers have played in the Padres' home opener, and second straight season.
Five Dodgers relievers have combined to pitch not only scoreless but hitless baseball through the first five games of the season.
Starting pitching has been a big reason why the Dodgers have beaten the Pirates in 14 of their last 16 games at Dodger Stadium.
The Dodgers have scored an average of just 2.63 runs per game in Kershaw's 16 starts against the Giants, including two runs or less 10 times.