13332144000 has 256 divisors, whose sum is σ = 50511052800. Its totient is φ = 3047270400.

The previous prime is 13332143999. The next prime is 13332144017. The reversal of 13332144000 is 44123331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316161 + ... + 355839.

It is an arithmetic number, because the mean of its divisors is an integer number (197308800).

Almost surely, 2^13332144000 is an apocalyptic number.

13332144000 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 13332144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25255526400).

13332144000 is an abundant number, since it is smaller than the sum of its proper divisors (37178908800).

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

13332144000 is an equidigital number, since it uses as much as digits as its factorization.

13332144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39718 (or 39696 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13332144000 its reverse (44123331), we get a palindrome (13376267331).

The spelling of 13332144000 in words is "thirteen billion, three hundred thirty-two million, one hundred forty-four thousand".