13181185056 has 96 divisors (see below), whose sum is σ = 37288702080. Its totient is φ = 4052865024.

The previous prime is 13181185037. The next prime is 13181185057. The reversal of 13181185056 is 65058118131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13181185057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2334685 + ... + 2340323.

It is an arithmetic number, because the mean of its divisors is an integer number (388423980).

Almost surely, 2^13181185056 is an apocalyptic number.

13181185056 is a gapful number since it is divisible by the number (16) 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 13181185056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644351040).

13181185056 is an abundant number, since it is smaller than the sum of its proper divisors (24107517024).

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

13181185056 is a wasteful number, since it uses less digits than its factorization.

13181185056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 13181185056 in words is "thirteen billion, one hundred eighty-one million, one hundred eighty-five thousand, fifty-six".