22013133321312 has 288 divisors, whose sum is σ = 71673186312000. Its totient is φ = 6278003933184.

The previous prime is 22013133321293. The next prime is 22013133321317. The reversal of 22013133321312 is 21312333131022.

22013133321312 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 13 + 332 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013133321317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4039845564 + ... + 4039851012.

It is an arithmetic number, because the mean of its divisors is an integer number (248865230250).

Almost surely, 2^{22013133321312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013133321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35836593156000).

22013133321312 is an abundant number, since it is smaller than the sum of its proper divisors (49660052990688).

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

22013133321312 is a wasteful number, since it uses less digits than its factorization.

22013133321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22013133321312 its reverse (21312333131022), we get a palindrome (43325466452334).

The spelling of 22013133321312 in words is "twenty-two trillion, thirteen billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred twelve".