113321110012110 has 1536 divisors, whose sum is σ = 420310368092160. Its totient is φ = 20421443174400.

The previous prime is 113321110012009. The next prime is 113321110012199. The reversal of 113321110012110 is 11210011123311.

113321110012110 is a `hidden beast` number, since 11 + 332 + 1 + 110 + 0 + 1 + 211 + 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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 63343269096 + ... + 63343270884.

It is an arithmetic number, because the mean of its divisors is an integer number (273639562560).

Almost surely, 2^{113321110012110} is an apocalyptic number.

113321110012110 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 113321110012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210155184046080).

113321110012110 is an abundant number, since it is smaller than the sum of its proper divisors (306989258080050).

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

113321110012110 is a wasteful number, since it uses less digits than its factorization.

113321110012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2511 counting only the distinct ones).

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

Adding to 113321110012110 its reverse (11210011123311), we get a palindrome (124531121135421).

The spelling of 113321110012110 in words is "one hundred thirteen trillion, three hundred twenty-one billion, one hundred ten million, twelve thousand, one hundred ten".