100133001110011 has 12 divisors (see below), whose sum is σ = 106372794003760. Its totient is φ = 94240046643840.

The previous prime is 100133001109979. The next prime is 100133001110027. The reversal of 100133001110011 is 110011100331001.

It is not a de Polignac number, because 100133001110011 - 2⁵ = 100133001109979 is a prime.

It is a super-2 number, since 2×100133001110011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100133001109973 and 100133001110000.

It is not an unprimeable number, because it can be changed into a prime (100133001110041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4747801 + ... + 14926741.

Almost surely, 2^{100133001110011} is an apocalyptic number.

100133001110011 is a deficient number, since it is larger than the sum of its proper divisors (6239792893749).

100133001110011 is a wasteful number, since it uses less digits than its factorization.

100133001110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10213014 (or 10212997 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100133001110011 its reverse (110011100331001), we get a palindrome (210144101441012).

The spelling of 100133001110011 in words is "one hundred trillion, one hundred thirty-three billion, one million, one hundred ten thousand, eleven".