100133011 has 8 divisors (see below), whose sum is σ = 109324800. Its totient is φ = 90956040.

The previous prime is 100132999. The next prime is 100133081. The reversal of 100133011 is 110331001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100133011 - 2¹⁵ = 100100243 is a prime.

It is a super-2 number, since 2×100133011² = 20053239783852242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133081) 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 7 ways as a sum of consecutive naturals, for example, 14230 + ... + 20068.

It is an arithmetic number, because the mean of its divisors is an integer number (13665600).

Almost surely, 2^100133011 is an apocalyptic number.

100133011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100133011 is a deficient number, since it is larger than the sum of its proper divisors (9191789).

100133011 is a wasteful number, since it uses less digits than its factorization.

100133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100133011 is about 10006.6483399788. The cubic root of 100133011 is about 464.3645863098.

Adding to 100133011 its reverse (110331001), we get a palindrome (210464012).

The spelling of 100133011 in words is "one hundred million, one hundred thirty-three thousand, eleven".