100131123 has 8 divisors (see below), whose sum is σ = 133576128. Its totient is φ = 66720104.

The previous prime is 100131089. The next prime is 100131127. The reversal of 100131123 is 321131001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100131123 - 2¹⁰ = 100130099 is a prime.

It is a super-2 number, since 2×100131123² = 20052483586482258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131099 and 100131108.

It is not an unprimeable number, because it can be changed into a prime (100131127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561 + ... + 14162.

It is an arithmetic number, because the mean of its divisors is an integer number (16697016).

Almost surely, 2^100131123 is an apocalyptic number.

100131123 is a deficient number, since it is larger than the sum of its proper divisors (33445005).

100131123 is a wasteful number, since it uses less digits than its factorization.

100131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16993.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100131123 is about 10006.5540022527. The cubic root of 100131123 is about 464.3616677723.

Adding to 100131123 its reverse (321131001), we get a palindrome (421262124).

The spelling of 100131123 in words is "one hundred million, one hundred thirty-one thousand, one hundred twenty-three".