CANBERRA, March 9 (Reuters) - Indonesia's President Susilo Bambang Yudhoyono arrived in Australia on Tuesday for a three-day visit likely to focus on security, economic ties and asylum seeker traffic.

Here are some facts about relations between the two countries, both Group of 20 members:

TRADE AND INVESTMENT

Indonesia and Australia have a growing economic relationship with trade worth A$9.3 billion ($8.4 billion) in 2008-2009 and bilateral investment worth around A$4.5 billion.

Indonesia is Australia's 13th largest trade partner and both countries in 2007 began talks on a free trade deal. Both
Canberra and Jakarta have backed reform of global financial regulation with the G20.

Major Australian imports from Indonesia include crude petroleum worth A$2.1 billion, gold and wood, while Australia exports mainly live animals, wheat, aluminium and cotton.

DEVELOPING TIES

Australia and Indonesia cooperate on international issues including counter-terrorism, illegal fishing, people smuggling, avian influenza and climate change.

Indonesia is the largest recipient of Australian aid, worth A$452 million in 2009-2010 and concentrated in education to counter religious extremism within Indonesia's 230 million population.

Australia is often accused of gauging the relationship through a security and counter-terrorism prism that raises hackles in the world's most populous Muslim nation. Tough Australian travel warnings also upset Jakarta.

SECURITY

Yudhoyono came to prominence in Australia in the aftermath of the 2002 Bali nightclub bombings, in which 88 Australians died. Yudhoyono was then co-ordinating minister of political and security affairs in Megawati Soekarnoputri's cabinet.

Yudhoyono is regarded in Canberra as the most pro-Australian and pro-Western president in Indonesia's history. On Tuesday he was awarded the Order of Australia, the country's highest civilian award.

Under Yudhoyono's government since 2004, Australia has continued training for Indonesia's notorious Kopassus special forces soldiers, while Canberra has also quietly encouraged close ally the United States to bolster military ties with Jakarta.

Both Australia and the United States help train elite Indonesian counter-terrorist police, while Australian police act as low-key advisers to their Indonesian counterparts on operations.

CONTROVERSIES

Rudd and Yudhoyono are expected to sign an agreement on people smuggling and asylum seekers at a time, in an election year, that the passage through Indonesia of migrants is causing problems for Rudd's government.

Rudd will also raise the cause of several Australian drug smugglers sentenced to death in Indonesia and seeking presidential clemency from Yudhoyono.