TOKYO, DEC. 25 -- Production at Japan's factories and mines rose 10.7 percent in November from a year earlier, the Ministry of International Trade and Industry announced today.

The strong surge, which was not adjusted for seasonal factors, followed October's 8.1 percent rise from year-earlier levels.

But if seasonal factors are taken into account, industrial production was unchanged from October, when it rose 1.2 percent, the ministry said.

The industrial and mining production index stood at 133.6 in November, compared with a 1980 base of 100.

Officials said the figures reflect a rebounding manufacturing sector and ripple effects from soaring government spending for public works projects.

However, one official said November's pronounced increase followed unusually low figures during the same month of 1986.

"We can say that industrial and mining production is going at a healthy clip," he said, "but one shouldn't view these figures literally."

Tallies for 1986 generally mirrored the worst effects of the yen's appreciation before many corporations successfully restructured against adverse currency factors.

In another report, the Japanese government said the nation's unemployment rate leveled off in November to 2.7 percent, while the number of job holders rose 1.5 percent.

The figures reflect a rebound in the economy, the statistics bureau of the prime minister's office said.

The number of unemployed totaled 1.56 million, down 30,000 from a year earlier, the bureau said.