113131100000 has 288 divisors, whose sum is σ = 286493850720. Its totient is φ = 43960320000.

The previous prime is 113131099997. The next prime is 113131100003. The reversal of 113131100000 is 1131311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113131099997) and next prime (113131100003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037899946 + ... + 1037900054.

It is an arithmetic number, because the mean of its divisors is an integer number (994770315).

Almost surely, 2^113131100000 is an apocalyptic number.

113131100000 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 113131100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143246925360).

113131100000 is an abundant number, since it is smaller than the sum of its proper divisors (173362750720).

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

113131100000 is an equidigital number, since it uses as much as digits as its factorization.

113131100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 113131100000 its reverse (1131311), we get a palindrome (113132231311).

113131100000 divided by its reverse (1131311) gives a 5-th power (100000 = 10⁵).

The spelling of 113131100000 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred thousand".