133302322223232 has 128 divisors (see below), whose sum is σ = 354623069520000. Its totient is φ = 44366510383104.

The previous prime is 133302322223173. The next prime is 133302322223261. The reversal of 133302322223232 is 232322223203331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×133302322223232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133302322223193 and 133302322223202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103424668 + ... + 3103467620.

It is an arithmetic number, because the mean of its divisors is an integer number (2770492730625).

Almost surely, 2^{133302322223232} is an apocalyptic number.

133302322223232 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 133302322223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177311534760000).

133302322223232 is an abundant number, since it is smaller than the sum of its proper divisors (221320747296768).

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

133302322223232 is a wasteful number, since it uses less digits than its factorization.

133302322223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55078 (or 55066 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 133302322223232 its reverse (232322223203331), we get a palindrome (365624545426563).

The spelling of 133302322223232 in words is "one hundred thirty-three trillion, three hundred two billion, three hundred twenty-two million, two hundred twenty-three thousand, two hundred thirty-two".