Population Density. With a surface area of 51,843 square miles, (135,382 square kilometers), Louisiana is the 31st largest state in terms of pure land mass. As regards to population density, the figures are fairly modest and for every square mile of land, there is an average of 105 people (40.5 per square kilometer).ew Orleans is the largest city in the state and its metropolitan area had a population of 1.167 million in 2010 with a population density of 1,965 people per square mile in the city proper.