13128021522000 has 1920 divisors, whose sum is σ = 58341825884160. Its totient is φ = 2672386560000.

The previous prime is 13128021521987. The next prime is 13128021522001. The reversal of 13128021522000 is 22512082131.

13128021522000 is a `hidden beast` number, since 1 + 31 + 280 + 2 + 152 + 200 + 0 = 666.

13128021522000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13128021522001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15990281590 + ... + 15990282410.

It is an arithmetic number, because the mean of its divisors is an integer number (30386367648).

Almost surely, 2^{13128021522000} is an apocalyptic number.

13128021522000 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 13128021522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29170912942080).

13128021522000 is an abundant number, since it is smaller than the sum of its proper divisors (45213804362160).

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

13128021522000 is a wasteful number, since it uses less digits than its factorization.

13128021522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 13128021522000 in words is "thirteen trillion, one hundred twenty-eight billion, twenty-one million, five hundred twenty-two thousand".