23213000100 has 144 divisors (see below), whose sum is σ = 68160762432. Its totient is φ = 6098595840.

The previous prime is 23213000051. The next prime is 23213000123. The reversal of 23213000100 is 100031232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 10780624 + ... + 10782776.

It is an arithmetic number, because the mean of its divisors is an integer number (473338628).

Almost surely, 2^23213000100 is an apocalyptic number.

23213000100 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 23213000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34080381216).

23213000100 is an abundant number, since it is smaller than the sum of its proper divisors (44947762332).

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

23213000100 is a wasteful number, since it uses less digits than its factorization.

23213000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23213000100 its reverse (100031232), we get a palindrome (23313031332).

The spelling of 23213000100 in words is "twenty-three billion, two hundred thirteen million, one hundred", and thus it is an aban number.