Bleach should be all pretty much be the same, what you can do when buying it, is look on the back for the Sodium Hypochlorite (active ingredient of bleach) content per 100g of product.
I always check this, and know a few off pat
.
Domestos is 4.5g (SH)/100g (product)
Tesco's is 4.6g/100g
Lidl's is 4.8g/100g.
One thing though that a lot of people may not know, is cleaning products DO have a shelf life, and DO expire (as in not that they will be "bad" as such, but they won't be as effective).
With Bleach, neat in the bottle, it is 6 months from manufacture (9months tops).
So don't stockpile bleach, it is quite cheap anyway (even domestos is never usually over £1.50 a bottle) - it's one of the best products to buy fresh weekly/monthly etc.
If you have made a bleach solution with water - it will last for 12 hours and after that will not be effective.
You could try bleach and bicard mixed into a thick paste, and spread that along the silicone and leave to soak. But usually, best option is to remove silicone and reseal.