133121320 has 64 divisors (see below), whose sum is σ = 307008000. Its totient is φ = 51936768.

The previous prime is 133121311. The next prime is 133121321. The reversal of 133121320 is 23121331.

It is a junction number, because it is equal to n+sod(n) for n = 133121294 and 133121303.

It is not an unprimeable number, because it can be changed into a prime (133121321) 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, 325276 + ... + 325684.

It is an arithmetic number, because the mean of its divisors is an integer number (4797000).

Almost surely, 2^133121320 is an apocalyptic number.

133121320 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 133121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153504000).

133121320 is an abundant number, since it is smaller than the sum of its proper divisors (173886680).

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

133121320 is a wasteful number, since it uses less digits than its factorization.

133121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 133121320 is about 11537.8212848007. The cubic root of 133121320 is about 510.6020315846.

Adding to 133121320 its reverse (23121331), we get a palindrome (156242651).

The spelling of 133121320 in words is "one hundred thirty-three million, one hundred twenty-one thousand, three hundred twenty".