110003121130320 has 120 divisors (see below), whose sum is σ = 403011434715552. Its totient is φ = 26667423302400.

The previous prime is 110003121130319. The next prime is 110003121130363. The reversal of 110003121130320 is 23031121300011.

110003121130320 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 312 + 1 + 1 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×110003121130320³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 110003121130293 and 110003121130302.

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 23 ways as a sum of consecutive naturals, for example, 6944633566 + ... + 6944649405.

Almost surely, 2^{110003121130320} is an apocalyptic number.

110003121130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110003121130320 is an abundant number, since it is smaller than the sum of its proper divisors (293008313585232).

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

110003121130320 is a wasteful number, since it uses less digits than its factorization.

110003121130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889283001 (or 13889282992 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110003121130320 its reverse (23031121300011), we get a palindrome (133034242430331).

The spelling of 110003121130320 in words is "one hundred ten trillion, three billion, one hundred twenty-one million, one hundred thirty thousand, three hundred twenty".