133033323313 has 6 divisors (see below), whose sum is σ = 146226710882. Its totient is φ = 120939384720.

The previous prime is 133033323301. The next prime is 133033323329. The reversal of 133033323313 is 313323330331.

It can be written as a sum of positive squares in only one way, i.e., 129249597169 + 3783726144 = 359513^2 + 61512^2 .

It is not a de Polignac number, because 133033323313 - 2⁵ = 133033323281 is a prime.

It is a super-2 number, since 2×133033323313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133033323343) 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 5 ways as a sum of consecutive naturals, for example, 549724356 + ... + 549724597.

Almost surely, 2^133033323313 is an apocalyptic number.

It is an amenable number.

133033323313 is a deficient number, since it is larger than the sum of its proper divisors (13193387569).

133033323313 is a wasteful number, since it uses less digits than its factorization.

133033323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099448975 (or 1099448964 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 133033323313 its reverse (313323330331), we get a palindrome (446356653644).

The spelling of 133033323313 in words is "one hundred thirty-three billion, thirty-three million, three hundred twenty-three thousand, three hundred thirteen".