133301103312 has 160 divisors (see below), whose sum is σ = 387937670400. Its totient is φ = 39134785536.

The previous prime is 133301103311. The next prime is 133301103319. The reversal of 133301103312 is 213301103331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133301103311) by changing a digit.

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, 5858614 + ... + 5881322.

It is an arithmetic number, because the mean of its divisors is an integer number (2424610440).

Almost surely, 2^133301103312 is an apocalyptic number.

133301103312 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 133301103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193968835200).

133301103312 is an abundant number, since it is smaller than the sum of its proper divisors (254636567088).

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

133301103312 is a wasteful number, since it uses less digits than its factorization.

133301103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23165 (or 23159 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133301103312 its reverse (213301103331), we get a palindrome (346602206643).

The spelling of 133301103312 in words is "one hundred thirty-three billion, three hundred one million, one hundred three thousand, three hundred twelve".