13533212000 has 288 divisors, whose sum is σ = 42202925856. Its totient is φ = 4217472000.

The previous prime is 13533211957. The next prime is 13533212039. The reversal of 13533212000 is 21233531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2152862 + ... + 2159138.

It is an arithmetic number, because the mean of its divisors is an integer number (146537937).

Almost surely, 2^13533212000 is an apocalyptic number.

13533212000 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 13533212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21101462928).

13533212000 is an abundant number, since it is smaller than the sum of its proper divisors (28669713856).

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

13533212000 is a wasteful number, since it uses less digits than its factorization.

13533212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 13533212000 its reverse (21233531), we get a palindrome (13554445531).

The spelling of 13533212000 in words is "thirteen billion, five hundred thirty-three million, two hundred twelve thousand".