133020303320320 has 144 divisors (see below), whose sum is σ = 343161540528912. Its totient is φ = 49111365058560.

The previous prime is 133020303320269. The next prime is 133020303320327. The reversal of 133020303320320 is 23023303020331.

It can be written as a sum of positive squares in 8 ways, for example, as 3150028628224 + 129870274692096 = 1774832^2 + 11396064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020303320327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218028814 + ... + 218638066.

It is an arithmetic number, because the mean of its divisors is an integer number (2383066253673).

Almost surely, 2^{133020303320320} is an apocalyptic number.

133020303320320 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 133020303320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171580770264456).

133020303320320 is an abundant number, since it is smaller than the sum of its proper divisors (210141237208592).

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

133020303320320 is a wasteful number, since it uses less digits than its factorization.

133020303320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622408 (or 622394 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 133020303320320 its reverse (23023303020331), we get a palindrome (156043606340651).

The spelling of 133020303320320 in words is "one hundred thirty-three trillion, twenty billion, three hundred three million, three hundred twenty thousand, three hundred twenty".