112131313000 has 256 divisors, whose sum is σ = 311728435200. Its totient is φ = 36937958400.

The previous prime is 112131312991. The next prime is 112131313001. The reversal of 112131313000 is 313131211.

It is not an unprimeable number, because it can be changed into a prime (112131313001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45267762 + ... + 45270238.

It is an arithmetic number, because the mean of its divisors is an integer number (1217689200).

Almost surely, 2^112131313000 is an apocalyptic number.

112131313000 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 112131313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155864217600).

112131313000 is an abundant number, since it is smaller than the sum of its proper divisors (199597122200).

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

112131313000 is a wasteful number, since it uses less digits than its factorization.

112131313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 112131313000 its reverse (313131211), we get a palindrome (112444444211).

The spelling of 112131313000 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred thirteen thousand".