110013201000144 has 60 divisors (see below), whose sum is σ = 331567564131076. Its totient is φ = 33850215691776.

The previous prime is 110013201000139. The next prime is 110013201000169. The reversal of 110013201000144 is 441000102310011.

110013201000144 is a `hidden beast` number, since 1 + 100 + 1 + 320 + 100 + 0 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50915360250000 + 59097840750144 = 7135500^2 + 7687512^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 29383865917 + ... + 29383869660.

Almost surely, 2^{110013201000144} is an apocalyptic number.

It is an amenable number.

110013201000144 is an abundant number, since it is smaller than the sum of its proper divisors (221554363130932).

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

110013201000144 is a wasteful number, since it uses less digits than its factorization.

110013201000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58767735604 (or 58767735595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110013201000144 its reverse (441000102310011), we get a palindrome (551013303310155).

The spelling of 110013201000144 in words is "one hundred ten trillion, thirteen billion, two hundred one million, one hundred forty-four", and thus it is an aban number.