13203330120000 has 840 divisors, whose sum is σ = 48670088867400. Its totient is φ = 3418619904000.

The previous prime is 13203330119981. The next prime is 13203330120139. The reversal of 13203330120000 is 2103330231.

13203330120000 is a `hidden beast` number, since 1 + 320 + 3 + 330 + 12 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 10709230070016 + 2494100049984 = 3272496^2 + 1579272^2 .

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10243079356 + ... + 10243080644.

It is an arithmetic number, because the mean of its divisors is an integer number (57940581985).

Almost surely, 2^{13203330120000} is an apocalyptic number.

13203330120000 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 13203330120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335044433700).

13203330120000 is an abundant number, since it is smaller than the sum of its proper divisors (35466758747400).

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

13203330120000 is a wasteful number, since it uses less digits than its factorization.

13203330120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13203330120000 its reverse (2103330231), we get a palindrome (13205433450231).

The spelling of 13203330120000 in words is "thirteen trillion, two hundred three billion, three hundred thirty million, one hundred twenty thousand".