Praise be to Allah, the Lord of the World; and may His blessings and peace be upon our Prophet Mohammed and upon all his Family and Companions.
It is likable to supplicate Allah asking goodness of this world and the
Hereafter at the time of looking at Ka'bah. One may also raise his hands for
making Du'a. There is no sound Hadith proves any special Du'a at this place.
So, one should ask Allah for goodness in this life and in the next life, the
most important is forgiveness and safety in both lives. A Muslim should
memorize the Prophetic supplications that contain all kinds of virtues to
supplicate with them in such excellent places. For example, one may make this
Du'a اللهم إني أسألك العفو والعافية ('O Allah, I ask you for pardon and
well-being'). Imam Ibn Majah reported from Anas that
a person came to the Prophet (Sallallahu Alaihi wa Sallam) and said, "O Messenger of Allah! Which Du'a
is more excellent?' The Prophet (Sallallahu Alaihi wa Sallam) said: 'Ask your
Lord for pardon and well-being in this life and the next'. He came to him
another day and asked the same question. The Prophet (Sallallahu Alaihi wa
Sallam) answered the same. He came to the Prophet (Sallallahu Alaihi wa Sallam)
third day and asked him the same. The answer was the same and then the Prophet
(Sallallahu Alaihi wa Sallam) said: "if you have been granted the
well-being in this world and Hereafter as well, you will be successful" . [The Hadith is Hasan].
It is reported in Sahih Muslim that if someone would embrace Islam the Prophet
(Sallallahu Alaihi wa Sallam) would teach him the prayer and then order him to
supplicate with these words "اللهم اغفرلي وارحمني واهدني وعافني وارزقني" ('O Allah! Forgive me, have Mercy
upon me, guide me, provide me well being and grant me sustenance" . [Sahih Muslim]
Know that there is no sound Hadith proving that supplications are responded at
the time of sighting al-Ka'bah. The Hadith saying so are weak. Even though,
such places are most likely to be where supplications are answered. So, one
should supplicate Allah as much as possible and should insist on asking Allah,
believing that He will respond and He is All-Hearer and Ever-Near.
We (Allah) shall show them Our portents on the horizons and within
Which is it, of the favours of your Lord (Allah), that ye deny?
Lo! those who believe and do works, the Beneficent will appoint for them love.
Lo! Allah graspeth the heavens and the earth that they deviate not, and if they were to deviate there is not one that could grasp them after Him (Allah). Lo! He (Allah) is ever Clement, Forgiving.
And in the heaven is your providence and that which ye are promised;
Allah would explain to you and guide you by the examples of those who were before you and would turn to you in mercy. Allah is Knower, Wise.