13032221100 has 144 divisors (see below), whose sum is σ = 38770185216. Its totient is φ = 3378240000.

The previous prime is 13032221093. The next prime is 13032221101. The reversal of 13032221100 is 112223031.

13032221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13032221100.

It is not an unprimeable number, because it can be changed into a prime (13032221101) 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 47 ways as a sum of consecutive naturals, for example, 2126040 + ... + 2132160.

Almost surely, 2^13032221100 is an apocalyptic number.

13032221100 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 13032221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385092608).

13032221100 is an abundant number, since it is smaller than the sum of its proper divisors (25737964116).

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

13032221100 is a wasteful number, since it uses less digits than its factorization.

13032221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13032221100 its reverse (112223031), we get a palindrome (13144444131).

The spelling of 13032221100 in words is "thirteen billion, thirty-two million, two hundred twenty-one thousand, one hundred".