13203123200 has 264 divisors, whose sum is σ = 34309423104. Its totient is φ = 5031936000.

The previous prime is 13203123121. The next prime is 13203123209. The reversal of 13203123200 is 232130231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203123209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100787135 + ... + 100787265.

It is an arithmetic number, because the mean of its divisors is an integer number (129959936).

Almost surely, 2^13203123200 is an apocalyptic number.

13203123200 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 13203123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154711552).

13203123200 is an abundant number, since it is smaller than the sum of its proper divisors (21106299904).

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

13203123200 is a wasteful number, since it uses less digits than its factorization.

13203123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13203123200 its reverse (232130231), we get a palindrome (13435253431).

The spelling of 13203123200 in words is "thirteen billion, two hundred three million, one hundred twenty-three thousand, two hundred".