13107685500 has 288 divisors, whose sum is σ = 50894363520. Its totient is φ = 2765491200.

The previous prime is 13107685489. The next prime is 13107685523. The reversal of 13107685500 is 558670131.

13107685500 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 76 + 85 + 500 = 666.

13107685500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13107685500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 393496 + ... + 425504.

It is an arithmetic number, because the mean of its divisors is an integer number (176716540).

Almost surely, 2^13107685500 is an apocalyptic number.

13107685500 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 13107685500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25447181760).

13107685500 is an abundant number, since it is smaller than the sum of its proper divisors (37786678020).

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

13107685500 is a wasteful number, since it uses less digits than its factorization.

13107685500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32054 (or 32039 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 13107685500 in words is "thirteen billion, one hundred seven million, six hundred eighty-five thousand, five hundred".