110013320223000 has 384 divisors, whose sum is σ = 382480475195520. Its totient is φ = 28500228172800.

The previous prime is 110013320222941. The next prime is 110013320223029. The reversal of 110013320223000 is 322023310011.

110013320223000 is a `hidden beast` number, since 1 + 10 + 0 + 1 + 332 + 0 + 22 + 300 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217196037 + ... + 217701963.

It is an arithmetic number, because the mean of its divisors is an integer number (996042904155).

Almost surely, 2^{110013320223000} is an apocalyptic number.

110013320223000 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 110013320223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191240237597760).

110013320223000 is an abundant number, since it is smaller than the sum of its proper divisors (272467154972520).

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

110013320223000 is a wasteful number, since it uses less digits than its factorization.

110013320223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506644 (or 506627 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110013320223000 its reverse (322023310011), we get a palindrome (110335343533011).

The spelling of 110013320223000 in words is "one hundred ten trillion, thirteen billion, three hundred twenty million, two hundred twenty-three thousand".