"And we have it private matter of Mr. Prigogine",- Putin said.
This year, Putin dispensed with his usual studio audience, fielding questions asked by text message and video.
Russian Federation also rejects the allegations against Mutko, and Putin implied keeping him in the government was an issue of loyalty.
President Vladimir Putin ridiculed the USA indictment of 13 Russians in a television interview broadcast Monday, scoffing at the notion that a person described as his chef could interfere with a US presidential election.
China-Russia trade has grown to 87 billion dollars in the past year, Putin said. The nationwide broadcast on state TV channels showed frequent shots of communications workers at computers monitoring questions submitted by viewers.
The call-in show allows Mr Putin to give answers to issues like rising fuel prices, flooded homes or underfunded hospitals, while passing on the blame to his underlings.
"Do you think that the person who is engaged in the restaurant business, having even a what-the hacking possibility of having some-what private company in this field, I don't even know what he is doing with these items can affect elections in the United States or in whatisit European country?"- said Putin.
There were no questions about Russian interference in the 2016 US presidential race, but Putin brought up the subject.
"In essence, these are sanctions", Putin said of the tariffs. "One can't call this anything else but a joke".More news: Rescuers tirelessly search for 200 missing near Guatemala volcano
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Asked during the show about who could follow him in the Kremlin, Putin said he is "always thinking about it".
One read, "Our lives are getting worse and worse".
Putin stressed that Russia's air base at Hemeimeem and the naval base in Tartous, which he said are important for helping the Syrian government, do not host any permanent facilities, which means the Russian military can be withdrawn quickly if necessary. "It's only in the Kremlin that everything is wonderful".
"But let me draw your attention to the fact that I did not call these deployment sites 'bases, '" he said. He believes that Germany, Spain, Argentina and Brazil are the most likely candidates to win the 2018 FIFA World Cup, which begins in his homeland on June 14.
The U.S., Iran and Turkey are among other countries with forces inside Syria, where the Assad government is battling a domestic rebellion and the threat from jihadi groups such as Islamic State and al Qaeda.
"Complete nonsense. I can only take it as a joke", he said, saying it was the same as the USA allegations that Russian Federation had influenced the 2016 election. "It is false and completely detached from reality because Russian Federation is a democracy and we all live under the constitution", he said.
Barring changes in the constitution, Putin wouldn't be able to run again when his current term as president expires in 2024.
Peters was suspended from Fox News for a couple weeks in 2015 after using profane words to slam former President Barack Obama.