The meetings have mainly concerned matters that Prince Charles is well known for championing such as rural affairs and town planning, according to the report.
He is believed to have met David Cameron seven times, Labour leader Ed Miliband three times and Nick Clegg, the Deputy Prime Minister, once.
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An eight-year-old girl died suddenly last week after she collapsed in the classroom, suffering from a brain aneurysm.
The 72-year-old had to be helicoptered from the mountain, when he was just a few hours from the summit on Monday.
Inspectors also found the electric meter had been bypassed to avoid paying for electricity.