13121341506000 has 2880 divisors, whose sum is σ = 61059244386816. Its totient is φ = 2561974272000.

The previous prime is 13121341505989. The next prime is 13121341506001. The reversal of 13121341506000 is 60514312131.

It is a happy number.

13121341506000 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 3 + 4 + 1 + 50 + 600 + 0 = 666.

13121341506000 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 (13121341506001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24253865730 + ... + 24253866270.

Almost surely, 2^{13121341506000} is an apocalyptic number.

13121341506000 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 13121341506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30529622193408).

13121341506000 is an abundant number, since it is smaller than the sum of its proper divisors (47937902880816).

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

13121341506000 is a wasteful number, since it uses less digits than its factorization.

13121341506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13121341506000 its reverse (60514312131), we get a palindrome (13181855818131).

The spelling of 13121341506000 in words is "thirteen trillion, one hundred twenty-one billion, three hundred forty-one million, five hundred six thousand".