133121132342304 has 96 divisors (see below), whose sum is σ = 350928735784704. Its totient is φ = 44185079992320.

The previous prime is 133121132342273. The next prime is 133121132342323. The reversal of 133121132342304 is 403243231121331.

It is a tau number, because it is divible by the number of its divisors (96).

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, 230446857 + ... + 231023799.

It is an arithmetic number, because the mean of its divisors is an integer number (3655507664424).

Almost surely, 2^{133121132342304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133121132342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175464367892352).

133121132342304 is an abundant number, since it is smaller than the sum of its proper divisors (217807603442400).

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

133121132342304 is a wasteful number, since it uses less digits than its factorization.

133121132342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587170 (or 587162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 133121132342304 its reverse (403243231121331), we get a palindrome (536364363463635).

The spelling of 133121132342304 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, one hundred thirty-two million, three hundred forty-two thousand, three hundred four".