22133132010 has 128 divisors (see below), whose sum is σ = 64895385600. Its totient is φ = 5323268160.

The previous prime is 22133131987. The next prime is 22133132011. The reversal of 22133132010 is 1023133122.

22133132010 is a `hidden beast` number, since 2 + 2 + 1 + 331 + 320 + 10 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22133132011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 347851 + ... + 406529.

It is an arithmetic number, because the mean of its divisors is an integer number (506995200).

Almost surely, 2^22133132010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32447692800).

22133132010 is an abundant number, since it is smaller than the sum of its proper divisors (42762253590).

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

22133132010 is a wasteful number, since it uses less digits than its factorization.

22133132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58833 (or 58827 counting only the distinct ones).

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

Adding to 22133132010 its reverse (1023133122), we get a palindrome (23156265132).

The spelling of 22133132010 in words is "twenty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, ten".