23013220100 has 108 divisors (see below), whose sum is σ = 55098059436. Its totient is φ = 8336540160.

The previous prime is 23013220051. The next prime is 23013220129. The reversal of 23013220100 is 102231032.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 15873984064 + 7139236036 = 125992^2 + 84494^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 882854 + ... + 908546.

It is an arithmetic number, because the mean of its divisors is an integer number (510167217).

Almost surely, 2^23013220100 is an apocalyptic number.

23013220100 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 23013220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27549029718).

23013220100 is an abundant number, since it is smaller than the sum of its proper divisors (32084839336).

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

23013220100 is a wasteful number, since it uses less digits than its factorization.

23013220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25786 (or 25766 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23013220100 its reverse (102231032), we get a palindrome (23115451132).

The spelling of 23013220100 in words is "twenty-three billion, thirteen million, two hundred twenty thousand, one hundred".