133021320 has 64 divisors (see below), whose sum is σ = 400576320. Its totient is φ = 35337984.

The previous prime is 133021271. The next prime is 133021321. The reversal of 133021320 is 23120331.

133021320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133021320.

It is not an unprimeable number, because it can be changed into a prime (133021321) by changing a digit.

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, 32002 + ... + 35918.

It is an arithmetic number, because the mean of its divisors is an integer number (6259005).

Almost surely, 2^133021320 is an apocalyptic number.

133021320 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 133021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200288160).

133021320 is an abundant number, since it is smaller than the sum of its proper divisors (267555000).

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

133021320 is a wasteful number, since it uses less digits than its factorization.

133021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133021320 is about 11533.4868968582. The cubic root of 133021320 is about 510.4741457487.

Adding to 133021320 its reverse (23120331), we get a palindrome (156141651).

The spelling of 133021320 in words is "one hundred thirty-three million, twenty-one thousand, three hundred twenty".