13105330220180 has 96 divisors (see below), whose sum is σ = 30536799552000. Its totient is φ = 4684063685760.

The previous prime is 13105330220179. The next prime is 13105330220249. The reversal of 13105330220180 is 8102203350131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85838351 + ... + 85990889.

It is an arithmetic number, because the mean of its divisors is an integer number (318091662000).

Almost surely, 2^{13105330220180} is an apocalyptic number.

13105330220180 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 13105330220180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268399776000).

13105330220180 is an abundant number, since it is smaller than the sum of its proper divisors (17431469331820).

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

13105330220180 is a wasteful number, since it uses less digits than its factorization.

13105330220180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159237 (or 159235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 13105330220180 in words is "thirteen trillion, one hundred five billion, three hundred thirty million, two hundred twenty thousand, one hundred eighty".