133315120 has 40 divisors (see below), whose sum is σ = 310667616. Its totient is φ = 53203968.

The previous prime is 133315099. The next prime is 133315121. The reversal of 133315120 is 21513331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133315120² = 35545842441228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133315121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38584 + ... + 41896.

Almost surely, 2^133315120 is an apocalyptic number.

133315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133315120 is an abundant number, since it is smaller than the sum of its proper divisors (177352496).

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

133315120 is a wasteful number, since it uses less digits than its factorization.

133315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 133315120 is about 11546.2166963902. The cubic root of 133315120 is about 510.8496921212.

Adding to 133315120 its reverse (21513331), we get a palindrome (154828451).

It can be divided in two parts, 13 and 3315120, that added together give a palindrome (3315133).

The spelling of 133315120 in words is "one hundred thirty-three million, three hundred fifteen thousand, one hundred twenty".