113333022000 has 480 divisors, whose sum is σ = 435316137984. Its totient is φ = 27252288000.

The previous prime is 113333021999. The next prime is 113333022017. The reversal of 113333022000 is 220333311.

113333022000 is a `hidden beast` number, since 1 + 133 + 330 + 2 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 25143747 + ... + 25148253.

Almost surely, 2^113333022000 is an apocalyptic number.

113333022000 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 113333022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217658068992).

113333022000 is an abundant number, since it is smaller than the sum of its proper divisors (321983115984).

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

113333022000 is a wasteful number, since it uses less digits than its factorization.

113333022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 113333022000 its reverse (220333311), we get a palindrome (113553355311).

The spelling of 113333022000 in words is "one hundred thirteen billion, three hundred thirty-three million, twenty-two thousand".