Regex to exclude one character only once and then should allow it

Regex that I tried:

[+1]?[^0-9],

[+1{1}]?[^0-9],

[^+1]?[^0-9]+ – this allows all 1‘s

Sample number :
+1 (634) 841-4313

target :
6348414313

it should remove characters:
+1 () -

my regex removes :
+1 () 1-1

Can any of you help me here with this?

>Solution :

^\+1\D*|\D

This will remove "+1" at the start of the string, then any non-numeric character following it

Given "+1 (987) 6543-2101"
Returns "98765432101"