113113300033110 has 256 divisors, whose sum is σ = 309995244518400. Its totient is φ = 26185038759936.

The previous prime is 113113300033087. The next prime is 113113300033117. The reversal of 113113300033110 is 11330003311311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113300033117) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1030224096 + ... + 1030333884.

It is an arithmetic number, because the mean of its divisors is an integer number (1210918923900).

Almost surely, 2^{113113300033110} is an apocalyptic number.

113113300033110 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 113113300033110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154997622259200).

113113300033110 is an abundant number, since it is smaller than the sum of its proper divisors (196881944485290).

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

113113300033110 is a wasteful number, since it uses less digits than its factorization.

113113300033110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110847.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 113113300033110 its reverse (11330003311311), we get a palindrome (124443303344421).

The spelling of 113113300033110 in words is "one hundred thirteen trillion, one hundred thirteen billion, three hundred million, thirty-three thousand, one hundred ten".