13131112608 has 192 divisors, whose sum is σ = 39321676800. Its totient is φ = 4261743360.

The previous prime is 13131112543. The next prime is 13131112627. The reversal of 13131112608 is 80621113131.

13131112608 is a `hidden beast` number, since 1 + 31 + 3 + 11 + 12 + 608 = 666.

It is a super-2 number, since 2×13131112608² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5090263 + ... + 5092841.

It is an arithmetic number, because the mean of its divisors is an integer number (204800400).

Almost surely, 2^13131112608 is an apocalyptic number.

13131112608 is a gapful number since it is divisible by the number (18) 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 13131112608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19660838400).

13131112608 is an abundant number, since it is smaller than the sum of its proper divisors (26190564192).

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

13131112608 is a wasteful number, since it uses less digits than its factorization.

13131112608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 13131112608 its reverse (80621113131), we get a palindrome (93752225739).

The spelling of 13131112608 in words is "thirteen billion, one hundred thirty-one million, one hundred twelve thousand, six hundred eight".