100133132011 has 16 divisors (see below), whose sum is σ = 111151192320. Its totient is φ = 89436013920.

The previous prime is 100133131949. The next prime is 100133132039. The reversal of 100133132011 is 110231331001.

It is not a de Polignac number, because 100133132011 - 2⁷ = 100133131883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133132041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113901 + ... + 1200433.

It is an arithmetic number, because the mean of its divisors is an integer number (6946949520).

Almost surely, 2^100133132011 is an apocalyptic number.

100133132011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100133132011 is a deficient number, since it is larger than the sum of its proper divisors (11018060309).

100133132011 is a wasteful number, since it uses less digits than its factorization.

100133132011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88386.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100133132011 its reverse (110231331001), we get a palindrome (210364463012).

The spelling of 100133132011 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand, eleven".