100406122313 has 24 divisors (see below), whose sum is σ = 123694379424. Its totient is φ = 80983593600.

The previous prime is 100406122303. The next prime is 100406122321. The reversal of 100406122313 is 313221604001.

It is not a de Polignac number, because 100406122313 - 2⁶ = 100406122249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100406122303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5798198 + ... + 5815488.

It is an arithmetic number, because the mean of its divisors is an integer number (5153932476).

Almost surely, 2^100406122313 is an apocalyptic number.

It is an amenable number.

100406122313 is a deficient number, since it is larger than the sum of its proper divisors (23288257111).

100406122313 is a wasteful number, since it uses less digits than its factorization.

100406122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24293 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 100406122313 its reverse (313221604001), we get a palindrome (413627726314).

The spelling of 100406122313 in words is "one hundred billion, four hundred six million, one hundred twenty-two thousand, three hundred thirteen".