13436221032 has 320 divisors, whose sum is σ = 43062835200. Its totient is φ = 3879912960.

The previous prime is 13436221009. The next prime is 13436221039. The reversal of 13436221032 is 23012263431.

13436221032 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 622 + 1 + 0 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13436220987 and 13436221005.

It is not an unprimeable number, because it can be changed into a prime (13436221039) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20326782 + ... + 20327442.

It is an arithmetic number, because the mean of its divisors is an integer number (134571360).

Almost surely, 2^13436221032 is an apocalyptic number.

13436221032 is a gapful number since it is divisible by the number (12) 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 13436221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21531417600).

13436221032 is an abundant number, since it is smaller than the sum of its proper divisors (29626614168).

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

13436221032 is a wasteful number, since it uses less digits than its factorization.

13436221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13436221032 its reverse (23012263431), we get a palindrome (36448484463).

The spelling of 13436221032 in words is "thirteen billion, four hundred thirty-six million, two hundred twenty-one thousand, thirty-two".