This is a Google Apps for Work account.
It has one primary domain, and one secondary.
It is not believed to have been a primary domain created via Google, but rather directly by GoDaddy and then added to google during the account creation.
Here is the result of the TryItNow call from the Google Developers Directory API page:
PUT https://www.googleapis.com/admin/directory/v1/customers/my_customer?fields=customerDomain&key={YOUR_API_KEY}
{
"customerDomain": "I PUT MY SECONDARY DOMAIN HERE"
}
Response:
{
"error": {
"errors": [
{
"domain": "global",
"reason": "invalid",
"message": "Invalid Input"
}
],
"code": 400,
"message": "Invalid Input"
}
}