100133442123 has 32 divisors (see below), whose sum is σ = 158375293440. Its totient is φ = 55474813440.

The previous prime is 100133442121. The next prime is 100133442131. The reversal of 100133442123 is 321244331001.

It is a happy number.

It is not a de Polignac number, because 100133442123 - 2¹ = 100133442121 is a prime.

It is a super-3 number, since 3×100133442123³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100133442093 and 100133442102.

It is not an unprimeable number, because it can be changed into a prime (100133442121) 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 31 ways as a sum of consecutive naturals, for example, 1088878 + ... + 1177251.

It is an arithmetic number, because the mean of its divisors is an integer number (4949227920).

Almost surely, 2^100133442123 is an apocalyptic number.

100133442123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100133442123 is a deficient number, since it is larger than the sum of its proper divisors (58241851317).

100133442123 is a wasteful number, since it uses less digits than its factorization.

100133442123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266259.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100133442123 its reverse (321244331001), we get a palindrome (421377773124).

The spelling of 100133442123 in words is "one hundred billion, one hundred thirty-three million, four hundred forty-two thousand, one hundred twenty-three".