One day when I was trying to avoid wild Pokemon I found a shiny sodowudo..

Congrats for find a Shiny Pokemon! It's not an easy thing to do!

Anyways, Shiny Pokemon don't have higher stats than normal Pokemon. I believe in the the older games they did, but they don't in the most recent games.

If you breed a Shiny Pokemon with Ditto, odds are the egg won't hatch into a Shiny Pokemon. The egg has the same odds of being a Shiny like any other Pokemon. If the Shiny Pokemon and the Ditto come from the same Country, the odds of the egg hatching into a Shiny Pokemon will be 1 in 8,000. If the Shiny Pokemon and the Ditto come form different Countries, the odds of the egg hatching into a Shiny Pokemon are about 1 in 2,500.

Hope this helps!

The probability of a wild Pokémon being Shiny is only 1/8192, or about 0.01%. So chances are, the offspring will not be Shiny.

Unfortunately, Shiny Pokémon don't always have higher stats than regular ones; the stats depend entirely on EVs and IVs, as well as whether the Pokémon has Pokérus. (Though I heard somewhere that Shinies are more likely to have Pokérus, but I don't know if that's true.)