23133212100 has 216 divisors, whose sum is σ = 74372505480. Its totient is φ = 6011965440.

The previous prime is 23133212033. The next prime is 23133212129. The reversal of 23133212100 is 121233132.

23133212100 is a `hidden beast` number, since 231 + 332 + 1 + 2 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1749414276 + 21383797824 = 41826^2 + 146232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7487356 + ... + 7490444.

It is an arithmetic number, because the mean of its divisors is an integer number (344317155).

Almost surely, 2^23133212100 is an apocalyptic number.

23133212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37186252740).

23133212100 is an abundant number, since it is smaller than the sum of its proper divisors (51239293380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23133212100 is a wasteful number, since it uses less digits than its factorization.

23133212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23133212100 its reverse (121233132), we get a palindrome (23254445232).

The spelling of 23133212100 in words is "twenty-three billion, one hundred thirty-three million, two hundred twelve thousand, one hundred".