13124442100 has 144 divisors (see below), whose sum is σ = 36653654016. Its totient is φ = 3958704000.

The previous prime is 13124442073. The next prime is 13124442113. The reversal of 13124442100 is 124442131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211209 + ... + 266191.

It is an arithmetic number, because the mean of its divisors is an integer number (254539264).

Almost surely, 2^13124442100 is an apocalyptic number.

13124442100 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 13124442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326827008).

13124442100 is an abundant number, since it is smaller than the sum of its proper divisors (23529211916).

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

13124442100 is a wasteful number, since it uses less digits than its factorization.

13124442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55046 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13124442100 its reverse (124442131), we get a palindrome (13248884231).

The spelling of 13124442100 in words is "thirteen billion, one hundred twenty-four million, four hundred forty-two thousand, one hundred".