13221232128 has 400 divisors, whose sum is σ = 43046776080. Its totient is φ = 4015816704.

The previous prime is 13221232103. The next prime is 13221232139. The reversal of 13221232128 is 82123212231.

13221232128 is a `hidden beast` number, since 1 + 322 + 12 + 321 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73861543 + ... + 73861721.

Almost surely, 2^13221232128 is an apocalyptic number.

13221232128 is a gapful number since it is divisible by the number (18) 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 13221232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523388040).

13221232128 is an abundant number, since it is smaller than the sum of its proper divisors (29825543952).

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

13221232128 is a wasteful number, since it uses less digits than its factorization.

13221232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 334 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 13221232128 its reverse (82123212231), we get a palindrome (95344444359).

The spelling of 13221232128 in words is "thirteen billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred twenty-eight".