133030313 has 8 divisors (see below), whose sum is σ = 143861256. Its totient is φ = 122284800.

The previous prime is 133030297. The next prime is 133030319. The reversal of 133030313 is 313030331.

It can be written as a sum of positive squares in 4 ways, for example, as 54937744 + 78092569 = 7412^2 + 8837^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133030313 - 2⁴ = 133030297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133030291 and 133030300.

It is not an unprimeable number, because it can be changed into a prime (133030319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18098 + ... + 24363.

It is an arithmetic number, because the mean of its divisors is an integer number (17982657).

Almost surely, 2^133030313 is an apocalyptic number.

133030313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133030313 is a deficient number, since it is larger than the sum of its proper divisors (10830943).

133030313 is a wasteful number, since it uses less digits than its factorization.

133030313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42715.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 133030313 is about 11533.8767550204. The cubic root of 133030313 is about 510.4856491441.

Adding to 133030313 its reverse (313030331), we get a palindrome (446060644).

The spelling of 133030313 in words is "one hundred thirty-three million, thirty thousand, three hundred thirteen".