100123013133 has 96 divisors (see below), whose sum is σ = 171714816000. Its totient is φ = 55419431040.

The previous prime is 100123013101. The next prime is 100123013141. The reversal of 100123013133 is 331310321001.

It is a happy number.

It is not a de Polignac number, because 100123013133 - 2⁵ = 100123013101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123013183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64221808 + ... + 64223366.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696000).

Almost surely, 2^100123013133 is an apocalyptic number.

100123013133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100123013133 is a deficient number, since it is larger than the sum of its proper divisors (71591802867).

100123013133 is a wasteful number, since it uses less digits than its factorization.

100123013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2084 counting only the distinct ones).

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

Adding to 100123013133 its reverse (331310321001), we get a palindrome (431433334134).

The spelling of 100123013133 in words is "one hundred billion, one hundred twenty-three million, thirteen thousand, one hundred thirty-three".