110113111300000 has 144 divisors (see below), whose sum is σ = 271001839944024. Its totient is φ = 44039116800000.

The previous prime is 110113111299977. The next prime is 110113111300033. The reversal of 110113111300000 is 3111311011.

It can be written as a sum of positive squares in 12 ways, for example, as 91414786187664 + 18698325112336 = 9561108^2 + 4324156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756027184 + ... + 756172816.

Almost surely, 2^{110113111300000} is an apocalyptic number.

110113111300000 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 110113111300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135500919972012).

110113111300000 is an abundant number, since it is smaller than the sum of its proper divisors (160888728644024).

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

110113111300000 is an frugal number, since it uses more digits than its factorization.

110113111300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153229 (or 153201 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 110113111300000 its reverse (3111311011), we get a palindrome (110116222611011).

The spelling of 110113111300000 in words is "one hundred ten trillion, one hundred thirteen billion, one hundred eleven million, three hundred thousand".