100132230133 has 16 divisors (see below), whose sum is σ = 109896466176. Its totient is φ = 90663393600.

The previous prime is 100132230073. The next prime is 100132230161. The reversal of 100132230133 is 331032231001.

It is not a de Polignac number, because 100132230133 - 2¹⁷ = 100132099061 is a prime.

It is a super-3 number, since 3×100132230133³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 100132230133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132230173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3188916 + ... + 3220162.

It is an arithmetic number, because the mean of its divisors is an integer number (6868529136).

Almost surely, 2^100132230133 is an apocalyptic number.

100132230133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100132230133 is a deficient number, since it is larger than the sum of its proper divisors (9764236043).

100132230133 is a wasteful number, since it uses less digits than its factorization.

100132230133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35964.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100132230133 its reverse (331032231001), we get a palindrome (431164461134).

The spelling of 100132230133 in words is "one hundred billion, one hundred thirty-two million, two hundred thirty thousand, one hundred thirty-three".