MILWAUKEE -- The Cincinnati Reds belted three home runs off right-hander Marco Estrada and broke the game open against the Brewers' bullpen in a 13-4 rout of the National League Central leaders Sunday afternoon at Miller Park.

Estrada (5-4) has given up 23 homers on the year, the most of any pitcher in baseball and his 2.46 home runs per nine innings played is by far the highest in the game.

Center fielder Billy Hamilton led off the game with a home run, his second in as many days, and after a one-out single by first baseman Joey Votto, second baseman Brandon Phillips made it a 3-0 game with his fifth of the season.

Milwaukee tied the game in the fourth when Estrada put the Brewers on the board with an RBI single. Second baseman Scooter Gennett followed with a double down the left field line, making it 3-3.

Estrada had retired nine of his next 11 batters before Hamilton opened the fifth with a base hit. That brought up the third baseman Todd Frazier, who belted an 0-1 fastball to left for his team-leading 15th of the season.

Estrada closed out the inning but after allowing five runs on eight hits with three strikeouts, gave way to left-hander Tom Gorzelanny, who made his 2014 debut with a scoreless sixth.

Brewers catcher Jonathan Lucroy had two hits, including a solo home run in the fifth that made it 5-4 and center fielder Carlos Gomez extended his hitting streak to 13 games with a 2-for-4 day that included a double.

The Reds, though, broke the game open in the eighth, scoring five runs against Milwaukee right-handers Rob Wooten and Mike Fiers then sent three more across in the ninth against Milwaukee left-hander Wei-Chung Wang.

Frazier and left fielder Ryan Ludwick each had four hits for the Reds while Hamilton and catcher Devin Mesoraco finished the day 3-for-5. First baseman Joey Votto and Phillips had two hits apiece.

Cincinnati got five innings out of starting right-hander Mike Leake (4-6) who gave up four runs on nine hits and three walks while striking out three.

NOTES: Cincinnati 2B Brandon Phillips came into the game with a streak of 35 at-bats without a strikeout. ... Brewers RHP Wily Peralta rejoined the team after dealing with an undisclosed family matter in his native Dominican Republic. Peralta will start the opener of a four-game series at Arizona Monday. ... Cincinnati manager Bryan Price said he had no plans to move CF Billy Hamilton from the leadoff spot despite his .296 on-base percentage entering play Sunday. ... Brewers starting pitchers began the day with 46 quality starts, trailing only the Braves (47) in the major leagues this season.