13203063507840 has 256 divisors, whose sum is σ = 44344576051200. Its totient is φ = 3332135854080.

The previous prime is 13203063507817. The next prime is 13203063507889. The reversal of 13203063507840 is 4870536030231.

It is a junction number, because it is equal to n+sod(n) for n = 13203063507792 and 13203063507801.

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, 35969074 + ... + 36334286.

It is an arithmetic number, because the mean of its divisors is an integer number (173221000200).

Almost surely, 2^{13203063507840} is an apocalyptic number.

13203063507840 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 13203063507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22172288025600).

13203063507840 is an abundant number, since it is smaller than the sum of its proper divisors (31141512543360).

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

13203063507840 is a wasteful number, since it uses less digits than its factorization.

13203063507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366245 (or 366233 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13203063507840 in words is "thirteen trillion, two hundred three billion, sixty-three million, five hundred seven thousand, eight hundred forty".