13813126128 has 40 divisors (see below), whose sum is σ = 39648789200. Its totient is φ = 4604375232.

The previous prime is 13813126111. The next prime is 13813126133. The reversal of 13813126128 is 82162131831.

13813126128 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 31 + 2 + 612 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13813126092 and 13813126101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15986983 + ... + 15987846.

It is an arithmetic number, because the mean of its divisors is an integer number (991219730).

Almost surely, 2^13813126128 is an apocalyptic number.

13813126128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13813126128 is an abundant number, since it is smaller than the sum of its proper divisors (25835663072).

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

13813126128 is a wasteful number, since it uses less digits than its factorization.

13813126128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31974846 (or 31974834 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

Adding to 13813126128 its reverse (82162131831), we get a palindrome (95975257959).

The spelling of 13813126128 in words is "thirteen billion, eight hundred thirteen million, one hundred twenty-six thousand, one hundred twenty-eight".