13081042305000 has 240 divisors, whose sum is σ = 44276661386100. Its totient is φ = 3487800960000.

The previous prime is 13081042304921. The next prime is 13081042305011. The reversal of 13081042305000 is 50324018031.

It is a happy number.

13081042305000 is a `hidden beast` number, since 1 + 30 + 8 + 104 + 23 + 0 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 5084691265476 + 7996351039524 = 2254926^2 + 2827782^2 .

It is a super-2 number, since 2×13081042305000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 434729956 + ... + 434760044.

Almost surely, 2^{13081042305000} is an apocalyptic number.

13081042305000 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 13081042305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138330693050).

13081042305000 is an abundant number, since it is smaller than the sum of its proper divisors (31195619081100).

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

13081042305000 is a wasteful number, since it uses less digits than its factorization.

13081042305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39782 (or 39760 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13081042305000 in words is "thirteen trillion, eighty-one billion, forty-two million, three hundred five thousand".