a 13 meter dome would be a two story build - I'm assuming it is sized for human usability not a hangar, for instance.
the base dome would act as a scaffold for the concrete. that concrete would need to support the weight of the compression load. the wood would probably start to deform under that load - one of the reasons timbers are used for shoring not 2x4's. the torsion load is what would concern me with a build that large. Geodesic homes are commonly made in the 40' to 45' size - close to the 13 meters you mentioned. I would have to model that type of build to figure out the bearing weight. - I'm an electronics/electrical guy
. I can say you would want to move to a smaller strut length via a 4V or better dome design. With a meter of dirt on top, the weight of the car/truck should be spread out enough to not matter. for a build that size I would stick with a metal skeleton - 1" pipe would work (based on a back of the napkin calculation). The joints used to join the pipes would be the weak point in that design. according to a framing website you could support about 300Kg per joint on the wood. That's only 10 metric tons or so for wood - probably not enough for complete support. If the dome is a scaffold for the concrete and the concrete is holding the compression load, you would be ok. Lateral stress would be minimal. you would want a gravel underlayment and gravel layer against the dome to avoid hydraulic pressure.
if you are going to burry a building that large, I highly recommend getting engineer stamped plans or have an CE/PR go over your plans.
smaller domes will work creted and covered but I don't know about 13 meter.
for scale
https://www.youtube.com/watch?v=9EKKwIxcZN0I've never considered a build that size. Let me fire up my work computer on Monday and look into it.