133330312240000 has 160 divisors (see below), whose sum is σ = 331961973789600. Its totient is φ = 53324975616000.

The previous prime is 133330312239989. The next prime is 133330312240001. The reversal of 133330312240000 is 42213033331.

133330312240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133330312240001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 618052156 + ... + 618267844.

It is an arithmetic number, because the mean of its divisors is an integer number (2074762336185).

Almost surely, 2^{133330312240000} is an apocalyptic number.

133330312240000 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 133330312240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165980986894800).

133330312240000 is an abundant number, since it is smaller than the sum of its proper divisors (198631661549600).

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

133330312240000 is an frugal number, since it uses more digits than its factorization.

133330312240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223450 (or 223423 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 133330312240000 its reverse (42213033331), we get a palindrome (133372525273331).

The spelling of 133330312240000 in words is "one hundred thirty-three trillion, three hundred thirty billion, three hundred twelve million, two hundred forty thousand".