113101110304 has 192 divisors, whose sum is σ = 289203989760. Its totient is φ = 42281533440.

The previous prime is 113101110281. The next prime is 113101110371. The reversal of 113101110304 is 403011101311.

It is a super-2 number, since 2×113101110304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23954664 + ... + 23959384.

It is an arithmetic number, because the mean of its divisors is an integer number (1506270780).

Almost surely, 2^113101110304 is an apocalyptic number.

113101110304 is a gapful number since it is divisible by the number (14) 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 113101110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144601994880).

113101110304 is an abundant number, since it is smaller than the sum of its proper divisors (176102879456).

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

113101110304 is a wasteful number, since it uses less digits than its factorization.

113101110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113101110304 its reverse (403011101311), we get a palindrome (516112211615).

The spelling of 113101110304 in words is "one hundred thirteen billion, one hundred one million, one hundred ten thousand, three hundred four".