13221332100 has 108 divisors (see below), whose sum is σ = 42561679524. Its totient is φ = 3430391040.

The previous prime is 13221332099. The next prime is 13221332101. The reversal of 13221332100 is 123312231.

13221332100 is a `hidden beast` number, since 1 + 322 + 1 + 332 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13221332099) and next prime (13221332101).

It can be written as a sum of positive squares in 6 ways, for example, as 695693376 + 12525638724 = 26376^2 + 111918^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13221332101) 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 35 ways as a sum of consecutive naturals, for example, 165219 + ... + 231818.

Almost surely, 2^13221332100 is an apocalyptic number.

13221332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221332100 is an abundant number, since it is smaller than the sum of its proper divisors (29340347424).

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

13221332100 is a wasteful number, since it uses less digits than its factorization.

13221332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397094 (or 397084 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13221332100 its reverse (123312231), we get a palindrome (13344644331).

The spelling of 13221332100 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred".