Remember that n is the figure of independent trials and p is the likelihood of success.
For small p and small n, the binomial distribution is what we name as skewed right. That is, the mass of the probability falls in the smaller numbers 0, 1, 2... and the distribution falls away to the right. While, for large p and small n, the binomial distribution is what we know as skewed left. That is, the mass of the probability falls in the larger numbers n, n−1,n−2,... and the distribution falls away to the left.