100133 has 4 divisors (see below), whose sum is σ = 109248. Its totient is φ = 91020.

The previous prime is 100129. The next prime is 100151. The reversal of 100133 is 331001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 331001 = 11 ⋅30091.

It is a cyclic number.

It is not a de Polignac number, because 100133 - 2² = 100129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4541 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (27312).

2¹⁰⁰¹³³ is an apocalyptic number.

It is an amenable number.

100133 is a deficient number, since it is larger than the sum of its proper divisors (9115).

100133 is an equidigital number, since it uses as much as digits as its factorization.

100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9114.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 100133 is about 316.4379876058. The cubic root of 100133 is about 46.4364569306.

Adding to 100133 its reverse (331001), we get a palindrome (431134).

It can be divided in two parts, 1001 and 33, that multiplied together give a palindrome (33033).

The spelling of 100133 in words is "one hundred thousand, one hundred thirty-three".