113013220111110 has 256 divisors, whose sum is σ = 336945619584000. Its totient is φ = 26716126694400.

The previous prime is 113013220111097. The next prime is 113013220111177. The reversal of 113013220111110 is 11111022310311.

113013220111110 is a `hidden beast` number, since 11 + 301 + 32 + 201 + 11 + 110 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255374152 + ... + 255816308.

It is an arithmetic number, because the mean of its divisors is an integer number (1316193826500).

Almost surely, 2^{113013220111110} is an apocalyptic number.

113013220111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113013220111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168472809792000).

113013220111110 is an abundant number, since it is smaller than the sum of its proper divisors (223932399472890).

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

113013220111110 is a wasteful number, since it uses less digits than its factorization.

113013220111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444324 (or 444318 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 113013220111110 its reverse (11111022310311), we get a palindrome (124124242421421).

The spelling of 113013220111110 in words is "one hundred thirteen trillion, thirteen billion, two hundred twenty million, one hundred eleven thousand, one hundred ten".