112133113210000 has 100 divisors (see below), whose sum is σ = 271499564488284. Its totient is φ = 44850918400000.

The previous prime is 112133113209989. The next prime is 112133113210021. The reversal of 112133113210000 is 12311331211.

It can be written as a sum of positive squares in 10 ways, for example, as 33484878438544 + 78648234771456 = 5786612^2 + 8868384^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 112133113210000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199329120 + ... + 199890880.

Almost surely, 2^{112133113210000} is an apocalyptic number.

112133113210000 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 112133113210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135749782244142).

112133113210000 is an abundant number, since it is smaller than the sum of its proper divisors (159366451278284).

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

112133113210000 is an equidigital number, since it uses as much as digits as its factorization.

112133113210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581750 (or 581729 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 112133113210000 its reverse (12311331211), we get a palindrome (112145424541211).

The spelling of 112133113210000 in words is "one hundred twelve trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred ten thousand".