It is not prescribed to wash the hand after reading the Qur'an
Machine translationRead the Arabic original
The fourth question of the fatwa number ( 9410 ):
Q4: After reading the Noble Qur'an, is it permissible for us to go directly to the bathroom, or should we wash our hands before entering the bathroom, knowing that the drains are the same for both the sink and the bathroom?
A4: It is not prescribed to wash the hand after reading the Qur'an, neither in the sink nor in the bathroom. And success is from Allah. May Allah send prayers and blessings upon our Prophet Muhammad, his family, and his Companions.
Source
www.alifta.gov.sa
The Arabic text is copied verbatim from the original source, without any edits.