13144166100 has 216 divisors, whose sum is σ = 44996620032. Its totient is φ = 3189715200.

The previous prime is 13144166059. The next prime is 13144166111. The reversal of 13144166100 is 166144131.

13144166100 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 41 + 6 + 610 + 0 = 666.

13144166100 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-3 number, since 3×13144166100³ (a number of 31 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 822789 + ... + 838611.

Almost surely, 2^13144166100 is an apocalyptic number.

13144166100 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 13144166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498310016).

13144166100 is an abundant number, since it is smaller than the sum of its proper divisors (31852453932).

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

13144166100 is a wasteful number, since it uses less digits than its factorization.

13144166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15927 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13144166100 in words is "thirteen billion, one hundred forty-four million, one hundred sixty-six thousand, one hundred".