13321130100 has 144 divisors (see below), whose sum is σ = 39864115200. Its totient is φ = 3432424320.

The previous prime is 13321130099. The next prime is 13321130149. The reversal of 13321130100 is 103112331.

It is a super-2 number, since 2×13321130100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13321130100.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1107921 + ... + 1119879.

Almost surely, 2^13321130100 is an apocalyptic number.

13321130100 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 13321130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19932057600).

13321130100 is an abundant number, since it is smaller than the sum of its proper divisors (26542985100).

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

13321130100 is a wasteful number, since it uses less digits than its factorization.

13321130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13321130100 its reverse (103112331), we get a palindrome (13424242431).

The spelling of 13321130100 in words is "thirteen billion, three hundred twenty-one million, one hundred thirty thousand, one hundred".