13203144000 has 168 divisors, whose sum is σ = 47230104168. Its totient is φ = 3520819200.

The previous prime is 13203143969. The next prime is 13203144011. The reversal of 13203144000 is 44130231.

It can be written as a sum of positive squares in 4 ways, for example, as 3736632384 + 9466511616 = 61128^2 + 97296^2 .

It is a super-2 number, since 2×13203144000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19689 + ... + 163688.

Almost surely, 2^13203144000 is an apocalyptic number.

13203144000 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 13203144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615052084).

13203144000 is an abundant number, since it is smaller than the sum of its proper divisors (34026960168).

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

13203144000 is a wasteful number, since it uses less digits than its factorization.

13203144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183410 (or 183387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13203144000 its reverse (44130231), we get a palindrome (13247274231).

The spelling of 13203144000 in words is "thirteen billion, two hundred three million, one hundred forty-four thousand".