13203140013200 has 240 divisors, whose sum is σ = 32918149353600. Its totient is φ = 5085656371200.

The previous prime is 13203140013157. The next prime is 13203140013227. The reversal of 13203140013200 is 231004130231.

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

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, 394354061 + ... + 394387539.

It is an arithmetic number, because the mean of its divisors is an integer number (137158955640).

Almost surely, 2^{13203140013200} is an apocalyptic number.

13203140013200 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 13203140013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459074676800).

13203140013200 is an abundant number, since it is smaller than the sum of its proper divisors (19715009340400).

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

13203140013200 is a wasteful number, since it uses less digits than its factorization.

13203140013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33850 (or 33839 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13203140013200 its reverse (231004130231), we get a palindrome (13434144143431).

The spelling of 13203140013200 in words is "thirteen trillion, two hundred three billion, one hundred forty million, thirteen thousand, two hundred".