100033123113 has 24 divisors (see below), whose sum is σ = 180146231616. Its totient is φ = 51965258400.

The previous prime is 100033123081. The next prime is 100033123121. The reversal of 100033123113 is 311321330001.

It is a happy number.

100033123113 is a `hidden beast` number, since 100 + 0 + 331 + 231 + 1 + 3 = 666.

It is not a de Polignac number, because 100033123113 - 2⁵ = 100033123081 is a prime.

It is a super-2 number, since 2×100033123113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100033123013) 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 23 ways as a sum of consecutive naturals, for example, 72173278 + ... + 72174663.

It is an arithmetic number, because the mean of its divisors is an integer number (7506092984).

Almost surely, 2^100033123113 is an apocalyptic number.

It is an amenable number.

100033123113 is a deficient number, since it is larger than the sum of its proper divisors (80113108503).

100033123113 is a wasteful number, since it uses less digits than its factorization.

100033123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144347965 (or 144347962 counting only the distinct ones).

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

Adding to 100033123113 its reverse (311321330001), we get a palindrome (411354453114).

The spelling of 100033123113 in words is "one hundred billion, thirty-three million, one hundred twenty-three thousand, one hundred thirteen".