"If this senator, whose name is not worth mentioning, could prove that I have those millions in the said bank accounts, then I will give them all to the victims of the earthquake in Surigao," he said in a statement.
"Kung gusto mo magresign Senator Ugok, magresign ka na. Huwag ka na madami pang dahilan. You are a useless senator and the people of the Philippines no longer believe you," he added.
"You can rot in hell for all we care!" Paolo continued.
Trillanes earlier revived his accusations against President Rodrigo Duterte that he has P2 billion in bank transactions.
He presented a matrix to the media showing alleged transactions in bank accounts of Duterte's children, Paolo, Davao City Mayor Sara Duterte, and Sebastian "Baste" Duterte; common-law wife Cielito "Honeylet" Avanceña; and campaign donor Samuel Uy.
Sara earlier said that she will give her alleged P121 million away if Trillanes can show where it is and if it is illegal.
"This 'ugok' senator is again throwing wild accusations against President Rodrigo Duterte and dinamay pa nya kaming mga anak sa kanyang kagaguhan," Paolo said.
"He earlier accused me of being a drug user and when I had proven that I am not, now he accuses me of having millions in questionable wealth," he added.
"From drug test and now bank test. If I may suggest for him to take a psychiatric test as something is very very wrong with his mind," he continued.