133113321320320 has 256 divisors, whose sum is σ = 353587205664000. Its totient is φ = 47510323937280.

The previous prime is 133113321320279. The next prime is 133113321320321. The reversal of 133113321320320 is 23023123311331.

It is a happy number.

133113321320320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113321320321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266827276 + ... + 267325684.

It is an arithmetic number, because the mean of its divisors is an integer number (1381200022125).

Almost surely, 2^{133113321320320} is an apocalyptic number.

133113321320320 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 133113321320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176793602832000).

133113321320320 is an abundant number, since it is smaller than the sum of its proper divisors (220473884343680).

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

133113321320320 is a wasteful number, since it uses less digits than its factorization.

133113321320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499141 (or 499129 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 133113321320320 its reverse (23023123311331), we get a palindrome (156136444631651).

The spelling of 133113321320320 in words is "one hundred thirty-three trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred twenty thousand, three hundred twenty".