1. Special Salaat:
It is recommended to do the following two Rakaat Salaat on 13th night of Rajab, Shabaan or Ramadhan.
Below is the description on how to perform this salaat:
In every Rakaat read Surah Hamd (حمد) and Surah Yaseen (یس),Surah Ikhlaas (توحید) and
Surah Mulk(تَبارَكَ المُلْكُ).
On the 14th night of Rajab, Shabaan or Ramadhan do four Rakaat of salaat with two salaams (meaning each Salaat is two Rakaat).
On the 15th night of Rajab, Shabaan or Ramadhan do six Rakaat of salaat with three salaams (meaning each Salaat is two Rakaat).
2. Birth of Imam Ali(AS):
On the 13th of the month of Rajab, twenty-three years before the migration of the Prophet (P.B.U.H.) a child was born in the family of Abu Talib, the light of whom kindled the whole World. Kunaab Mecci narrates about his birth: “We and Abbas (Ibne Abdul Mutalib) were sitting together when suddenly we saw Fatima bint-e-Asad moving towards the Kaabah in the condition having delivery pain and saying “Oh God I have faith in you and the Prophet ( i.e., Abraham) who by your command laid the foundation of this house. O God! I swear you by the same Prophet (P.B.U.H.) and swear you by the child in my womb make this birth comfortable and easy for me.”
This was the time when all of us saw with our own eyes that the wall of Kaabah broke apart and Fatima bint-e-Asad entered into the Kaabah. Then the wall again united.