This support article is primarily for US customers, however, the same could apply to international carriers.
It's possible to send a submission notification via text by taking the phone number you want to send the text to, and then adding the carriers email protocol to the end of it.
For example, if you had an AT&T number, it might look like 3175555555@txt.att.net
For this to work, you would want to take the email + number you intend on using and place it in your Email To settings under notification emails. To access your notification email settings for your Form, you want to navigate to the settings of your Form and then choose the Emails & Actions tab. From there, you can edit or add a notification email. For this example, we took 3175555555@txt.att.net and placed it in the email to box.
That's it. Now all my new form submissions will be sent to my mobile as a text as well.
Here is a list of carriers and the email extensions:
[10-digit phone number]@message.alltel.com
Example: 2125551212@message.alltel.com
[10-digit phone number]@txt.att.net
Example: 2125551212@txt.att.net
For multimedia messages, use [10-digit-number]@mms.att.net
Example: 2125551212@mms.att.net
[10-digit phone number]@myboostmobile.com
Example: 2125551212@myboostmobile.com
[10-digit phone number]@sms.mycricket.com
Example: 1234567890@sms.mycricket.com
For multimedia messages: [10-digit phone number]@mms.mycricket.com
Example: 1234567890@mms.mycricket.com
Nextel (now part of Sprint Nextel)
[10-digit telephone number]@messaging.nextel.com
Example: 7035551234@messaging.nextel.com
Sprint (now Sprint Nextel)
[10-digit phone number]@messaging.sprintpcs.com
Example: 2125551234@messaging.sprintpcs.com
[10-digit phone number]@tmomail.net
Example: 4251234567@tmomail.net
[10-digit phone number]@vtext.com
Example: 5552223333@vtext.com
[10-digit phone number]@vmobl.com
Example: 5551234567@vmobl.com
Other U.S. and Canadian carriers:
Bell Canada: [10-digit-phone-number]@txt.bellmobility.ca
Centennial Wireless: [10-digit-phone-number]@cwemail.com
Cellular South: [10-digit-phone-number]@csouth1.com
Cincinnati Bell: [10-digit-phone-number]@gocbw.com
Metro PCS: [10-digit-phone-number]@mymetropcs.com or [10-digit-phone-number]@metropcs.sms.us
Qwest: [10-digit-phone-number]@qwestmp.com
Rogers: [10-digit-phone-number]@pcs.rogers.com
Suncom: [10-digit-phone-number]@tms.suncom.com
Telus: [10-digit-phone-number]@msg.telus.com
U.S. Cellular: [10-digit-phone-number]@email.uscc.net