Summers' move comes after the US Department of Justice announced that it would investigate Epstein's "involvement and relationship" with former President Bill Clinton, who was also a friend of Epstein, and several other prominent Democrats.
Clinton has strongly denied he had any knowledge of Epstein's crimes.
The department's decision came at the urging of Trump, who also asked for Summers, LinkedIn founder Reid Hoffman and banks JP Morgan and Chase, to be investigated.
Hoffman is yet to comment. A spokesperson for JPMorgan Chase said the firm regretted "any association" it had with Epstein, and added that it "did not help him commit his heinous acts".
Trump was also mentioned in the emails, which do not imply any wrongdoing.
"Epstein was a Democrat, and he is the Democrat's problem, not the Republican's problem!" he wrote on social media.
"They all know about him, don't waste your time with Trump. I have a Country to run!"
