Apple has announced record quarterly revenues of $54.5bn (£34.4bn) and record quarterly net profits of $13.1bn for what is officially Q1, 2013, though the figures actually cover the three months to 29 December, 2012.

Compared to the corresponding year-ago quarter, revenues were up 18 per cent ($46.3bn), while profits remained the same. Compared to the previous quarter, revenues were up 51 per cent ($36bn), while profits were up by 59 per cent ($8.2bn).

Apple sold 47.8m iPhones in the quarter, compared to 37m the year-ago quarter, and 26.9m the previous quarter. The company also sold 22.9m iPads, compared to 15.4m in the year-ago quarter, and 14m the previous quarter. Sales of Macs continued to decline, though for some reason, assuming the figures Apple put out are correct, sales of iPods bounced back. After selling just 5.3m in the previous quarter, Apple sold 12.7m iPods in the last quarter.

Announcing the results, Apple CEO Tim Cook said: “We’re thrilled with record revenue of over $54bn and sales of over 75m iOS devices in a single quarter. We’re very confident in our product pipeline as we continue to focus on innovation and making the best products in the world.”

With the holiday season over, Apple says it expects Q2 revenues to come in between $41bn and $43bn.