13123302100 has 72 divisors (see below), whose sum is σ = 29226823808. Its totient is φ = 5112892800.

The previous prime is 13123302089. The next prime is 13123302107. The reversal of 13123302100 is 120332131.

13123302100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123302107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 617857 + ... + 638743.

Almost surely, 2^13123302100 is an apocalyptic number.

13123302100 is a gapful number since it is divisible by the number (10) 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 13123302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613411904).

13123302100 is an abundant number, since it is smaller than the sum of its proper divisors (16103521708).

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

13123302100 is a wasteful number, since it uses less digits than its factorization.

13123302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21065 (or 21058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13123302100 its reverse (120332131), we get a palindrome (13243634231).

The spelling of 13123302100 in words is "thirteen billion, one hundred twenty-three million, three hundred two thousand, one hundred".