13003424100 has 180 divisors, whose sum is σ = 44631963684. Its totient is φ = 3263569920.

The previous prime is 13003424023. The next prime is 13003424101. The reversal of 13003424100 is 142430031.

It can be written as a sum of positive squares in 6 ways, for example, as 94828644 + 12908595456 = 9738^2 + 113616^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13003424101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 90484 + ... + 184916.

Almost surely, 2^13003424100 is an apocalyptic number.

13003424100 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 13003424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22315981842).

13003424100 is an abundant number, since it is smaller than the sum of its proper divisors (31628539584).

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

13003424100 is a wasteful number, since it uses less digits than its factorization.

13003424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94476 (or 94460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13003424100 its reverse (142430031), we get a palindrome (13145854131).

The spelling of 13003424100 in words is "thirteen billion, three million, four hundred twenty-four thousand, one hundred".