The average height of an 18-40 years old Italian woman is 1.650 m (5 ft 5 in).
The average height of a 17+ years old female in rural India is 1.521 m (5 ft 0 in).This could be due to living conditions. "In regions of extreme poverty or prolonged warfare, environmental factors like malnutrition during childhood or adolescence may account for marked reductions in adult stature." (Wikipedia)
It is hard to determine an "average" height for a 13 year old because height and weight can vary so wildly among adolescents. You have probably already hit a growth spurt while other 13 year olds have yet to hit puberty.
You are by no means a giant in Europe. Women reach their full height earlier than men, and 5.77 may be as tall as you ever get. This would put you at slightly above-average height in Italy, and yes, more like a "giant" in India, where the average height is much shorter.
· 9 years ago