What is the difference between interior designer and interior decorator, and are they the same?

The difference is that the designer prepares the space for the decorator

generally its same

I'd prefer a designer to a decorator - it seems like they really get down to the skull and bones of the matter. I suppose it depends on the extent of your project, though!

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Many people use the terms “interior design” and “interior decorating” interchangeably, but these professions differ in critical ways. Interior design is the art and science of understanding people’s behavior to create functional spaces within a building. Decoration is the furnishing or adorning of a space with fashionable or beautiful things*. In short, interior designers may decorate, but decorators do not design. Interior designers apply creative and technical solutions within a structure that are functional, attractive and beneficial to the occupants’ quality of life and culture. Designs respond to and coordinate with the building shell and acknowledge the physical location and social context of the project. Designs must adhere to code and regulatory requirements and encourage the principles of environmental sustainability. The interior design process follows a systematic and coordinated methodology—including research, analysis and integration of knowledge into the creative process—to satisfy the needs and resources of the client

I'm pretty sure that in order to choose between the designer and decorator, you need to decide on the extent of your project first. When I wanted to work on that, I had to work on the building the addition to my residence, such as adu los angeles, so I had to hire these specialists, so decorators weren't the best in that case.

interior designers do the whole project from space management , interior decoration , furniture design , curtain design , lighting design , carpet design , tile design , he can manage all design and technical aspects of project , in other words he can design the material that can go in the space to be designed .

a decorator only applies  pre designed material to adorn the space with it but , he can't design the furniture ,lighting and materials to be used in the project.