13021444100 has 216 divisors, whose sum is σ = 34586452992. Its totient is φ = 4167475200.

The previous prime is 13021444087. The next prime is 13021444103. The reversal of 13021444100 is 144412031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13021444103) 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 71 ways as a sum of consecutive naturals, for example, 38639132 + ... + 38639468.

Almost surely, 2^13021444100 is an apocalyptic number.

13021444100 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 13021444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293226496).

13021444100 is an abundant number, since it is smaller than the sum of its proper divisors (21565008892).

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

13021444100 is a wasteful number, since it uses less digits than its factorization.

13021444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13021444100 its reverse (144412031), we get a palindrome (13165856131).

The spelling of 13021444100 in words is "thirteen billion, twenty-one million, four hundred forty-four thousand, one hundred".