A Malaysian climber who was on a hiking trip to Lombok is reportedly among those killed.
About 820 trekkers, including 617 foreigners, were said to have been on Mount Rinjani during the natural disaster.
A total of 5,141 people are staying in temporary shelters and in need of clean water, Indonesian disaster mitigation agency spokesman Sutopo Purwo Nugroho told MetroTV.
"We urge people to be alert but remain calm and refrain from panicking", Dwikorita Karnawati, head of the National Meteorology, Climatology and Geophysics Agency (BMKG), said in Jakarta on Sunday.
Two trails on the volcano became impassable following the significant eruption.
Eight hundred people were registered to climb the mountain on Sunday and officials said about 300 made it down after the quake.
Mount Rinjani National Park chief, Sudiyono, said more than 800 tourists were registered to climb Rinjani, an active volcano, when a strong quake rocked Lombok early Sunday.
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The quake damaged dozens of single-story houses and taller buildings and was felt in a wider area, including in Bali, where no damage or casualties were reported.
Thousands of homes have also been damaged by the original natural disaster and 11 aftershocks.
The Lombok quake, which struck at 6:47 a.m. (8:47 p.m. ET Saturday), was only 4.35 miles deep, a shallow depth that would have amplified its effect.
"They calmed down and returned to their rooms once we explained the quake did not trigger a tsunami".
Officials say at least 14 people have been killed and more than 160 people are injured.
The country sits on the deadly "Ring of Fire", an arc of volcanoes and earthquake-prone fault lines circling the Pacific Ocean.
Indonesian President Joko Widodo flew to the island Monday to meet with the communities affected by the natural disaster as emergency aid began to be dispersed to the island.