133213021320320 has 128 divisors (see below), whose sum is σ = 325569109501440. Its totient is φ = 52098415734784.

The previous prime is 133213021320307. The next prime is 133213021320389. The reversal of 133213021320320 is 23023120312331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 133213021320320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27316034 + ... + 31821246.

It is an arithmetic number, because the mean of its divisors is an integer number (2543508667980).

Almost surely, 2^{133213021320320} is an apocalyptic number.

133213021320320 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 133213021320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162784554750720).

133213021320320 is an abundant number, since it is smaller than the sum of its proper divisors (192356088181120).

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

133213021320320 is an equidigital number, since it uses as much as digits as its factorization.

133213021320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506262 (or 4506250 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 133213021320320 its reverse (23023120312331), we get a palindrome (156236141632651).

The spelling of 133213021320320 in words is "one hundred thirty-three trillion, two hundred thirteen billion, twenty-one million, three hundred twenty thousand, three hundred twenty".