133111221132 has 96 divisors (see below), whose sum is σ = 323212780800. Its totient is φ = 42586387200.

The previous prime is 133111221119. The next prime is 133111221151. The reversal of 133111221132 is 231122111331.

It is a super-2 number, since 2×133111221132² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133111221099 and 133111221108.

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 31 ways as a sum of consecutive naturals, for example, 86943207 + ... + 86944737.

It is an arithmetic number, because the mean of its divisors is an integer number (3366799800).

Almost surely, 2^133111221132 is an apocalyptic number.

133111221132 is a gapful number since it is divisible by the number (12) 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 133111221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161606390400).

133111221132 is an abundant number, since it is smaller than the sum of its proper divisors (190101559668).

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

133111221132 is a wasteful number, since it uses less digits than its factorization.

133111221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2885 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 133111221132 its reverse (231122111331), we get a palindrome (364233332463).

The spelling of 133111221132 in words is "one hundred thirty-three billion, one hundred eleven million, two hundred twenty-one thousand, one hundred thirty-two".