133313321 has 2 divisors, whose sum is σ = 133313322. Its totient is φ = 133313320.

The previous prime is 133313311. The next prime is 133313357. The reversal of 133313321 is 123313331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119355625 + 13957696 = 10925^2 + 3736^2 .

It is an emirp because it is prime and its reverse (123313331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133313321 - 2¹⁰ = 133312297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133313293 and 133313302.

It is not a weakly prime, because it can be changed into another prime (133313311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656660 + 66656661.

It is an arithmetic number, because the mean of its divisors is an integer number (66656661).

Almost surely, 2^133313321 is an apocalyptic number.

It is an amenable number.

133313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

133313321 is an equidigital number, since it uses as much as digits as its factorization.

133313321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 133313321 is about 11546.1387918213. The cubic root of 133313321 is about 510.8473942505.

Adding to 133313321 its reverse (123313331), we get a palindrome (256626652).

The spelling of 133313321 in words is "one hundred thirty-three million, three hundred thirteen thousand, three hundred twenty-one".