113322213120000 has 480 divisors, whose sum is σ = 378196127749440. Its totient is φ = 30165749760000.

The previous prime is 113322213119993. The next prime is 113322213120071. The reversal of 113322213120000 is 21312223311.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2192614159 + ... + 2192665841.

It is an arithmetic number, because the mean of its divisors is an integer number (787908599478).

Almost surely, 2^{113322213120000} is an apocalyptic number.

113322213120000 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 113322213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189098063874720).

113322213120000 is an abundant number, since it is smaller than the sum of its proper divisors (264873914629440).

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

113322213120000 is an frugal number, since it uses more digits than its factorization.

113322213120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52299 (or 52264 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113322213120000 its reverse (21312223311), we get a palindrome (113343525343311).

The spelling of 113322213120000 in words is "one hundred thirteen trillion, three hundred twenty-two billion, two hundred thirteen million, one hundred twenty thousand".