13081098240000 has 1800 divisors, whose sum is σ = 56039845109248. Its totient is φ = 2985984000000.

The previous prime is 13081098239981. The next prime is 13081098240017. The reversal of 13081098240000 is 4289018031.

13081098240000 is a `hidden beast` number, since 1 + 308 + 109 + 8 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×13081098240000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17418239625 + ... + 17418240375.

Almost surely, 2^{13081098240000} is an apocalyptic number.

13081098240000 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 13081098240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28019922554624).

13081098240000 is an abundant number, since it is smaller than the sum of its proper divisors (42958746869248).

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

13081098240000 is an frugal number, since it uses more digits than its factorization.

13081098240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13081098240000 in words is "thirteen trillion, eighty-one billion, ninety-eight million, two hundred forty thousand".