23322313010100 has 288 divisors, whose sum is σ = 78396434807040. Its totient is φ = 5301230837760.

The previous prime is 23322313010027. The next prime is 23322313010107. The reversal of 23322313010100 is 101031322332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322313010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195321 + ... + 6832479.

It is an arithmetic number, because the mean of its divisors is an integer number (272209843080).

Almost surely, 2^{23322313010100} is an apocalyptic number.

23322313010100 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 23322313010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39198217403520).

23322313010100 is an abundant number, since it is smaller than the sum of its proper divisors (55074121796940).

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

23322313010100 is a wasteful number, since it uses less digits than its factorization.

23322313010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637259 (or 6637252 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23322313010100 its reverse (101031322332), we get a palindrome (23423344332432).

The spelling of 23322313010100 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred thirteen million, ten thousand, one hundred".