13224134000 has 320 divisors, whose sum is σ = 40813673472. Its totient is φ = 4023936000.

The previous prime is 13224133963. The next prime is 13224134003. The reversal of 13224134000 is 43142231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224134003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6621002 + ... + 6622998.

Almost surely, 2^13224134000 is an apocalyptic number.

13224134000 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 13224134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20406836736).

13224134000 is an abundant number, since it is smaller than the sum of its proper divisors (27589539472).

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

13224134000 is a wasteful number, since it uses less digits than its factorization.

13224134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13224134000 its reverse (43142231), we get a palindrome (13267276231).

The spelling of 13224134000 in words is "thirteen billion, two hundred twenty-four million, one hundred thirty-four thousand".