13320233100 has 324 divisors, whose sum is σ = 45248275800. Its totient is φ = 3268408320.

The previous prime is 13320233077. The next prime is 13320233141. The reversal of 13320233100 is 133202331.

13320233100 is a `hidden beast` number, since 1 + 332 + 0 + 2 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×13320233100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23409616 + ... + 23410184.

Almost surely, 2^13320233100 is an apocalyptic number.

13320233100 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 13320233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624137900).

13320233100 is an abundant number, since it is smaller than the sum of its proper divisors (31928042700).

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

13320233100 is a wasteful number, since it uses less digits than its factorization.

13320233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13320233100 its reverse (133202331), we get a palindrome (13453435431).

13320233100 divided by its reverse (133202331) gives a square (100 = 10²).

The spelling of 13320233100 in words is "thirteen billion, three hundred twenty million, two hundred thirty-three thousand, one hundred".