13134826100 has 144 divisors (see below), whose sum is σ = 32128526976. Its totient is φ = 4618944000.

The previous prime is 13134826099. The next prime is 13134826123. The reversal of 13134826100 is 162843131.

13134826100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 7365809 + ... + 7367591.

Almost surely, 2^13134826100 is an apocalyptic number.

13134826100 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 13134826100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064263488).

13134826100 is an abundant number, since it is smaller than the sum of its proper divisors (18993700876).

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

13134826100 is a wasteful number, since it uses less digits than its factorization.

13134826100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 13134826100 in words is "thirteen billion, one hundred thirty-four million, eight hundred twenty-six thousand, one hundred".