Lay out the whole wheat tortillas on a clean, flat surface.
Spread a generous layer of hummus on each tortilla, leaving about an inch from the edges.
Distribute the pickled red cabbage and pickled carrots evenly among the tortillas, placing them on top of the hummus.
Add cucumber slices and red bell pepper juliennes onto each tortilla, arranging them in compact rows.
Sprinkle the sliced Kalamata olives and crumbled feta cheese over the vegetables.
Place a handful of fresh spinach leaves on each tortilla.
In a small bowl, whisk together the extra virgin olive oil, lemon juice, za'atar spice mix, and season with salt and pepper to create a light dressing.
Drizzle the dressing over the fillings on each tortilla.
Carefully roll up the tortillas tightly, tucking in the sides as you go, to secure the fillings.
Slice each wrap in half diagonally and serve immediately, or wrap in parchment paper for a portable meal.