133312333120 has 112 divisors (see below), whose sum is σ = 331330115088. Its totient is φ = 51042467840.

The previous prime is 133312333057. The next prime is 133312333127. The reversal of 133312333120 is 21333213331.

It can be written as a sum of positive squares in 8 ways, for example, as 11438730304 + 121873602816 = 106952^2 + 349104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312333127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599502 + ... + 791218.

It is an arithmetic number, because the mean of its divisors is an integer number (2958304599).

Almost surely, 2^133312333120 is an apocalyptic number.

133312333120 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 133312333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165665057544).

133312333120 is an abundant number, since it is smaller than the sum of its proper divisors (198017781968).

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

133312333120 is a wasteful number, since it uses less digits than its factorization.

133312333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191828 (or 191818 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 133312333120 its reverse (21333213331), we get a palindrome (154645546451).

The spelling of 133312333120 in words is "one hundred thirty-three billion, three hundred twelve million, three hundred thirty-three thousand, one hundred twenty".