100123313103 has 24 divisors (see below), whose sum is σ = 159301833600. Its totient is φ = 60091655760.

The previous prime is 100123313051. The next prime is 100123313153. The reversal of 100123313103 is 301313321001.

It is a happy number.

100123313103 is a `hidden beast` number, since 10 + 0 + 12 + 331 + 310 + 3 = 666.

It is not a de Polignac number, because 100123313103 - 2²¹ = 100121215951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123313153) 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, 4899253 + ... + 4919646.

It is an arithmetic number, because the mean of its divisors is an integer number (6637576400).

Almost surely, 2^100123313103 is an apocalyptic number.

100123313103 is a deficient number, since it is larger than the sum of its proper divisors (59178520497).

100123313103 is a wasteful number, since it uses less digits than its factorization.

100123313103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819019 (or 9819016 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100123313103 its reverse (301313321001), we get a palindrome (401436634104).

The spelling of 100123313103 in words is "one hundred billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred three".