133221424411020 has 192 divisors, whose sum is σ = 415720430383104. Its totient is φ = 31601788308480.

The previous prime is 133221424410947. The next prime is 133221424411021. The reversal of 133221424411020 is 20114424122331.

It is a happy number.

It is a super-2 number, since 2×133221424411020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133221424411021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7942309 + ... + 18152771.

It is an arithmetic number, because the mean of its divisors is an integer number (2165210574912).

Almost surely, 2^{133221424411020} is an apocalyptic number.

133221424411020 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 133221424411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207860215191552).

133221424411020 is an abundant number, since it is smaller than the sum of its proper divisors (282499005972084).

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

133221424411020 is a wasteful number, since it uses less digits than its factorization.

133221424411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210912 (or 10210910 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 133221424411020 its reverse (20114424122331), we get a palindrome (153335848533351).

The spelling of 133221424411020 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, four hundred twenty-four million, four hundred eleven thousand, twenty".