112213021131300 has 576 divisors, whose sum is σ = 364074457743360. Its totient is φ = 26558479687680.

The previous prime is 112213021131259. The next prime is 112213021131331. The reversal of 112213021131300 is 3131120312211.

112213021131300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112213021131300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 913435281 + ... + 913558119.

It is an arithmetic number, because the mean of its divisors is an integer number (632073711360).

Almost surely, 2^{112213021131300} is an apocalyptic number.

112213021131300 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 112213021131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182037228871680).

112213021131300 is an abundant number, since it is smaller than the sum of its proper divisors (251861436612060).

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

112213021131300 is a wasteful number, since it uses less digits than its factorization.

112213021131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123060 (or 123053 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 112213021131300 its reverse (3131120312211), we get a palindrome (115344141443511).

The spelling of 112213021131300 in words is "one hundred twelve trillion, two hundred thirteen billion, twenty-one million, one hundred thirty-one thousand, three hundred".