13040350505200 has 120 divisors (see below), whose sum is σ = 32436303184800. Its totient is φ = 5032149857280.

The previous prime is 13040350505167. The next prime is 13040350505219. The reversal of 13040350505200 is 250505304031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13727206 + ... + 14646394.

It is an arithmetic number, because the mean of its divisors is an integer number (270302526540).

Almost surely, 2^{13040350505200} is an apocalyptic number.

13040350505200 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 13040350505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218151592400).

13040350505200 is an abundant number, since it is smaller than the sum of its proper divisors (19395952679600).

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

13040350505200 is a wasteful number, since it uses less digits than its factorization.

13040350505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920459 (or 920448 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 13040350505200 its reverse (250505304031), we get a palindrome (13290855809231).

The spelling of 13040350505200 in words is "thirteen trillion, forty billion, three hundred fifty million, five hundred five thousand, two hundred".