Mr Wiels was well known as a fervent supporter of cutting Curacao's ties with the Netherlands.
Curacao and Sint Maarten said that they were contributing a disproportionately large amount to the government.
The Curacao government said the Netherlands had offered to help with the investigation into Mr Wiels's murder.
The 23-year-old, born in Amsterdam and raised in Curacao, has a given name of Mariekson Julius Gregorius.
"Curacao has lost a driven politician who fought for his ideals and loved his country, " Mr Rutte said.
About half of the Dutch roster is from Holland and the others from his native island of Curacao.
Residents and visitors on other Caribbean islands such as Aruba, Curacao and Bonaire could also find themselves getting drenched.
Once the centre of the Caribbean slave trade, Curacao was hard hit by the abolition of slavery in 1863.
The caramel praline cups, pineapple butter creams and curacao orange liqueur truffles are designed to lure even the most reluctant sweet-toothed visitor.
Kitts, Curacao and Aruba, ending up back in San Juan on February 24.
In 1910, after weeks of being viewed through telescopes, Halley's Comet was reported visible to the naked eye in Curacao.
Curacao, off the Venezuelan coast, is an oil refining and tourist centre, boasting white-sand beaches, crystalline waters and popular casinos.
On Friday, Mr Wiels had denounced alleged abuses committed by Curacao telecommunication company UTS in an interview with news site Versgeperst.com.
Teams of astronomers will set up camp along the center line of the eclipse track in Guadeloupe, Curacao, Aruba, and Venezuela.
The government of the Netherlands Antilles and Aruba has issued a Tropical Storm Warning for the islands of Aruba, Bonaire and Curacao.
He also promised to increase security for all of Curacao's elected officials.
Mr Wiels's Pueblo Soberano party gained 22.6% of the votes in the 2012 election and holds five of the 21 seats in Curacao's parliament.
While Curacao and Sint Maarten became autonomous countries, the less-populated islands of Bonaire, Sint Eustatius and Saba now have city status within the Netherlands.
His kingdom spans two continents and is made up of four countries: Aruba, Curacao and Sint Maarten in the Caribbean as well as the Netherlands in Europe.
Undercover agents met with Bout's associates the world over, from Curacao to Copenhagen, in an attempt to set up a meeting with their target, according to the indictment.
Curacao is a former Dutch colony and now forms an independent country within the kingdom of the Netherlands, but it still relies on the Netherlands for defence and foreign policy.
The largest of the three islands, Curacao also has the biggest population and one of the highest standards of living in the Caribbean due to its well-developed oil refining business and other industries.
The ship has been flying a Curacao flag, but it will be switched to a Russian flag "in order to avoid a possible detention of the ship, " the state-run Itar-Tass news agency reported.
Of the nearly 1, 600 defections through Dec. 16, more than 800 health workers have defected from Venezuela alone, and nearly 300 have come from Colombia and Curacao, which don't host Cuban medical brigades but are easily reached from Venezuela.
Felix is expected to continue on this track over the next 24 hours, which would take away from the southern Windward Islands later this morning and near the islands of Aruba, Bonaire and Curacao late Saturday or early Sunday, the NHC said.
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