13613132160 has 768 divisors, whose sum is σ = 54533606400. Its totient is φ = 3224862720.

The previous prime is 13613132131. The next prime is 13613132173. The reversal of 13613132160 is 6123131631.

13613132160 is a `hidden beast` number, since 1 + 3 + 613 + 1 + 32 + 16 + 0 = 666.

13613132160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50232825 + ... + 50233095.

It is an arithmetic number, because the mean of its divisors is an integer number (71007300).

Almost surely, 2^13613132160 is an apocalyptic number.

13613132160 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 13613132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266803200).

13613132160 is an abundant number, since it is smaller than the sum of its proper divisors (40920474240).

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

13613132160 is a wasteful number, since it uses less digits than its factorization.

13613132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 13613132160 its reverse (6123131631), we get a palindrome (19736263791).

The spelling of 13613132160 in words is "thirteen billion, six hundred thirteen million, one hundred thirty-two thousand, one hundred sixty".