13221134430 has 144 divisors (see below), whose sum is σ = 39211479216. Its totient is φ = 2844119040.

The previous prime is 13221134411. The next prime is 13221134453. The reversal of 13221134430 is 3443112231.

It is a happy number.

It is a super-2 number, since 2×13221134430² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13221134430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 409270 + ... + 440390.

It is an arithmetic number, because the mean of its divisors is an integer number (272301939).

Almost surely, 2^13221134430 is an apocalyptic number.

13221134430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221134430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605739608).

13221134430 is an abundant number, since it is smaller than the sum of its proper divisors (25990344786).

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

13221134430 is a wasteful number, since it uses less digits than its factorization.

13221134430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31179 (or 31155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13221134430 its reverse (3443112231), we get a palindrome (16664246661).

The spelling of 13221134430 in words is "thirteen billion, two hundred twenty-one million, one hundred thirty-four thousand, four hundred thirty".