113510100000 has 864 divisors, whose sum is σ = 424159727040. Its totient is φ = 26540800000.

The previous prime is 113510099957. The next prime is 113510100073. The reversal of 113510100000 is 1015311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1923899971 + ... + 1923900029.

It is an arithmetic number, because the mean of its divisors is an integer number (490925610).

Almost surely, 2^113510100000 is an apocalyptic number.

113510100000 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 113510100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212079863520).

113510100000 is an abundant number, since it is smaller than the sum of its proper divisors (310649627040).

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

113510100000 is an equidigital number, since it uses as much as digits as its factorization.

113510100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

Adding to 113510100000 its reverse (1015311), we get a palindrome (113511115311).

The spelling of 113510100000 in words is "one hundred thirteen billion, five hundred ten million, one hundred thousand".