101133 has 12 divisors (see below), whose sum is σ = 154908. Its totient is φ = 63360.

The previous prime is 101119. The next prime is 101141. The reversal of 101133 is 331101.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 21609 = 282^2 + 147^2 .

It is not a de Polignac number, because 101133 - 2⁴ = 101117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113) 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, 178 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (12909).

2¹⁰¹¹³³ is an apocalyptic number.

It is an amenable number.

101133 is a deficient number, since it is larger than the sum of its proper divisors (53775).

101133 is a wasteful number, since it uses less digits than its factorization.

101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

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

The square root of 101133 is about 318.0141506286. The cubic root of 101133 is about 46.5905277708.

Adding to 101133 its reverse (331101), we get a palindrome (432234).

The spelling of 101133 in words is "one hundred one thousand, one hundred thirty-three".