13222232100 has 288 divisors, whose sum is σ = 52996608000. Its totient is φ = 2747433600.

The previous prime is 13222232063. The next prime is 13222232117. The reversal of 13222232100 is 123222231.

13222232100 is a `hidden beast` number, since 1 + 322 + 22 + 321 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 176101 + ... + 239699.

It is an arithmetic number, because the mean of its divisors is an integer number (184016000).

Almost surely, 2^13222232100 is an apocalyptic number.

13222232100 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 13222232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26498304000).

13222232100 is an abundant number, since it is smaller than the sum of its proper divisors (39774375900).

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

13222232100 is a wasteful number, since it uses less digits than its factorization.

13222232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63640 (or 63627 counting only the distinct ones).

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

Adding to 13222232100 its reverse (123222231), we get a palindrome (13345454331).

The spelling of 13222232100 in words is "thirteen billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred".