133031120 has 80 divisors (see below), whose sum is σ = 338884560. Its totient is φ = 48340992.

The previous prime is 133031111. The next prime is 133031123. The reversal of 133031120 is 21130331.

It can be written as a sum of positive squares in 8 ways, for example, as 23116864 + 109914256 = 4808^2 + 10484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 133031095 and 133031104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031123) 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, 37754 + ... + 41126.

It is an arithmetic number, because the mean of its divisors is an integer number (4236057).

Almost surely, 2^133031120 is an apocalyptic number.

133031120 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 133031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169442280).

133031120 is an abundant number, since it is smaller than the sum of its proper divisors (205853440).

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

133031120 is a wasteful number, since it uses less digits than its factorization.

133031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133031120 is about 11533.9117388681. The cubic root of 133031120 is about 510.4866813928.

Adding to 133031120 its reverse (21130331), we get a palindrome (154161451).

It can be divided in two parts, 1330311 and 20, that added together give a palindrome (1330331).

The spelling of 133031120 in words is "one hundred thirty-three million, thirty-one thousand, one hundred twenty".