13331122022000 has 160 divisors (see below), whose sum is σ = 32698074225024. Its totient is φ = 5255830272000.

The previous prime is 13331122021999. The next prime is 13331122022027. The reversal of 13331122022000 is 22022113331.

It is a super-3 number, since 3×13331122022000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581194532 + ... + 581217468.

Almost surely, 2^{13331122022000} is an apocalyptic number.

13331122022000 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 13331122022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349037112512).

13331122022000 is an abundant number, since it is smaller than the sum of its proper divisors (19366952203024).

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

13331122022000 is a wasteful number, since it uses less digits than its factorization.

13331122022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27124 (or 27108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13331122022000 its reverse (22022113331), we get a palindrome (13353144135331).

The spelling of 13331122022000 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-two million, twenty-two thousand".