13020065307180 has 288 divisors, whose sum is σ = 42345121291200. Its totient is φ = 3226642366464.

The previous prime is 13020065307169. The next prime is 13020065307203. The reversal of 13020065307180 is 8170356002031.

13020065307180 is a `hidden beast` number, since 1 + 30 + 20 + 0 + 6 + 530 + 71 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201226914 + ... + 201291606.

It is an arithmetic number, because the mean of its divisors is an integer number (147031671150).

Almost surely, 2^{13020065307180} is an apocalyptic number.

13020065307180 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 13020065307180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21172560645600).

13020065307180 is an abundant number, since it is smaller than the sum of its proper divisors (29325055984020).

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

13020065307180 is a wasteful number, since it uses less digits than its factorization.

13020065307180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65553 (or 65548 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13020065307180 in words is "thirteen trillion, twenty billion, sixty-five million, three hundred seven thousand, one hundred eighty".