133303120 has 40 divisors (see below), whose sum is σ = 328164264. Its totient is φ = 50184192.

The previous prime is 133303097. The next prime is 133303141. The reversal of 133303120 is 21303331.

It can be written as a sum of positive squares in 4 ways, for example, as 61528336 + 71774784 = 7844^2 + 8472^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 133303094 and 133303103.

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, 47649 + ... + 50368.

Almost surely, 2^133303120 is an apocalyptic number.

133303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133303120 is an abundant number, since it is smaller than the sum of its proper divisors (194861144).

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

133303120 is a wasteful number, since it uses less digits than its factorization.

133303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98047 (or 98041 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 133303120 is about 11545.6970339603. The cubic root of 133303120 is about 510.8343640768.

Adding to 133303120 its reverse (21303331), we get a palindrome (154606451).

The spelling of 133303120 in words is "one hundred thirty-three million, three hundred three thousand, one hundred twenty".