Hi Edo Muhammad,

Some verbs take two prepositions at the same time in their phrasal verbs. The following sentences are just some examples.

1. Most white collar thieves could easily get away from being jailed and that has made corruption live happily in Indonesia. Long live corruption.
2. She still loves him although she knows that he is such a jerk. I don’t understand why she still can put up with him.
3. Your English will steadily improve if you keep up on learning and practicing it.
4. The teacher teaches us so fast that we’re hardly able to catch up on his lecture.
5. Many dogs can get along with cats but what bothers me is that we, human beings, sometimes can’t get along with each other.
6. I hope I can cut down on the number of cigarettes I smoke.
7. Some people were trapped and couldn’t get out of that building.
   
8. That’s all because I run out of examples.
   

However, I am afraid there is a typo in the sentence in question. I believe the preposition for should be omitted from that sentence.

They are indifferent to politics.

To make sure,  please do some googling and compare the number of search results you get by using “indifferent to for” to that by using  “indifferent to”. PS: Don’t forget to include the quotation marks  in those key words.