Preheat your grill to medium-high heat.
Grill the corn for about 10-15 minutes, turning occasionally, until the kernels are tender and slightly charred. Remove from the grill and let cool slightly.
In a mixing bowl, combine the mayonnaise, sour cream, chili powder, garlic powder, lime zest, lime juice, salt, and pepper. Mix until smooth and well combined.
Once the corn is cool enough to handle, brush the mayonnaise mixture generously over each ear of corn.
Sprinkle the crumbled cotija cheese over the coated corn, pressing gently to help it adhere.
Garnish with chopped cilantro and serve with lime wedges on the side.