100131231123 has 48 divisors (see below), whose sum is σ = 190930162176. Its totient is φ = 48956440320.

The previous prime is 100131231113. The next prime is 100131231197. The reversal of 100131231123 is 321132131001.

It is not a de Polignac number, because 100131231123 - 2¹⁰ = 100131230099 is a prime.

It is a super-2 number, since 2×100131231123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131231096 and 100131231105.

It is not an unprimeable number, because it can be changed into a prime (100131231113) 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 47 ways as a sum of consecutive naturals, for example, 4237911 + ... + 4261472.

It is an arithmetic number, because the mean of its divisors is an integer number (3977711712).

Almost surely, 2^100131231123 is an apocalyptic number.

100131231123 is a deficient number, since it is larger than the sum of its proper divisors (90798931053).

100131231123 is a wasteful number, since it uses less digits than its factorization.

100131231123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8499424 (or 8499421 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100131231123 its reverse (321132131001), we get a palindrome (421263362124).

The spelling of 100131231123 in words is "one hundred billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty-three".