13531106208 has 192 divisors, whose sum is σ = 38334062592. Its totient is φ = 4163973120.

The previous prime is 13531106167. The next prime is 13531106209. The reversal of 13531106208 is 80260113531.

It is a super-2 number, since 2×13531106208² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13531106209) 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 31 ways as a sum of consecutive naturals, for example, 25871835 + ... + 25872357.

It is an arithmetic number, because the mean of its divisors is an integer number (199656576).

Almost surely, 2^13531106208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531106208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167031296).

13531106208 is an abundant number, since it is smaller than the sum of its proper divisors (24802956384).

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

13531106208 is a wasteful number, since it uses less digits than its factorization.

13531106208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 13531106208 its reverse (80260113531), we get a palindrome (93791219739).

The spelling of 13531106208 in words is "thirteen billion, five hundred thirty-one million, one hundred six thousand, two hundred eight".