22131133020000 has 360 divisors, whose sum is σ = 78691623794784. Its totient is φ = 5898068352000.

The previous prime is 22131133019981. The next prime is 22131133020013. The reversal of 22131133020000 is 2033113122.

22131133020000 is a `hidden beast` number, since 2 + 2 + 1 + 311 + 330 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 304703689 + ... + 304776311.

Almost surely, 2^{22131133020000} is an apocalyptic number.

22131133020000 is a gapful number since it is divisible by the number (20) 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 22131133020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39345811897392).

22131133020000 is an abundant number, since it is smaller than the sum of its proper divisors (56560490774784).

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

22131133020000 is a wasteful number, since it uses less digits than its factorization.

22131133020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74352 (or 74326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22131133020000 its reverse (2033113122), we get a palindrome (22133166133122).

The spelling of 22131133020000 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred thirty-three million, twenty thousand".