133120313009 has 8 divisors (see below), whose sum is σ = 137733379560. Its totient is φ = 128508760576.

The previous prime is 133120313003. The next prime is 133120313021. The reversal of 133120313009 is 900313021331.

It can be written as a sum of positive squares in 4 ways, for example, as 66940177984 + 66180135025 = 258728^2 + 257255^2 .

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 133120313009 - 2¹² = 133120308913 is a prime.

It is a super-2 number, since 2×133120313009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133120313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198182 + ... + 552735.

It is an arithmetic number, because the mean of its divisors is an integer number (17216672445).

Almost surely, 2^133120313009 is an apocalyptic number.

It is an amenable number.

133120313009 is a deficient number, since it is larger than the sum of its proper divisors (4613066551).

133120313009 is an equidigital number, since it uses as much as digits as its factorization.

133120313009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757059.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 133120313009 in words is "one hundred thirty-three billion, one hundred twenty million, three hundred thirteen thousand, nine".