Berkshire Hathaway Inc. has been buying about 1 million shares a month of dialysis-center operator DaVita HealthCare Partners Inc., making the holding among the dozen largest at Warren Buffett’s company.

Berkshire has accumulated 13.6 million shares, or about 13 percent, of DaVita from the end of September 2011 through Dec. 6, according to regulatory filings. The stake is valued at about $1.45 billion, twice as much as Omaha, Nebraska-based Berkshire’s position in Washington Post Co., one of Buffett’s longest-held investments.