2133313321 has 2 divisors, whose sum is σ = 2133313322. Its totient is φ = 2133313320.

The previous prime is 2133313261. The next prime is 2133313363. The reversal of 2133313321 is 1233133312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2030493721 + 102819600 = 45061^2 + 10140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2133313321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133313292 and 2133313301.

It is not a weakly prime, because it can be changed into another prime (2133313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066656660 + 1066656661.

It is an arithmetic number, because the mean of its divisors is an integer number (1066656661).

Almost surely, 2^2133313321 is an apocalyptic number.

It is an amenable number.

2133313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133313321 is an equidigital number, since it uses as much as digits as its factorization.

2133313321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 22.

The square root of 2133313321 is about 46187.8048947988. The cubic root of 2133313321 is about 1287.3151541084.

Adding to 2133313321 its reverse (1233133312), we get a palindrome (3366446633).

Subtracting from 2133313321 its reverse (1233133312), we obtain a square (900180009 = 30003²).

The spelling of 2133313321 in words is "two billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred twenty-one".