133313120 has 48 divisors (see below), whose sum is σ = 331536240. Its totient is φ = 50517504.

The previous prime is 133313107. The next prime is 133313137. The reversal of 133313120 is 21313331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18887 + ... + 24966.

It is an arithmetic number, because the mean of its divisors is an integer number (6907005).

Almost surely, 2^133313120 is an apocalyptic number.

133313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133313120 is an abundant number, since it is smaller than the sum of its proper divisors (198223120).

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

133313120 is a wasteful number, since it uses less digits than its factorization.

133313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43887 (or 43879 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133313120 is about 11546.1300876094. The cubic root of 133313120 is about 510.8471375110.

Adding to 133313120 its reverse (21313331), we get a palindrome (154626451).

It can be divided in two parts, 13 and 3313120, that added together give a palindrome (3313133).

The spelling of 133313120 in words is "one hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".