2133211313 has 2 divisors, whose sum is σ = 2133211314. Its totient is φ = 2133211312.

The previous prime is 2133211307. The next prime is 2133211321. The reversal of 2133211313 is 3131123312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2069977009 + 63234304 = 45497^2 + 7952^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133211313 - 2²⁴ = 2116434097 is a prime.

It is a super-2 number, since 2×2133211313² = 9101181011822367938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2133211343) 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 as a sum of consecutive naturals, namely, 1066605656 + 1066605657.

It is an arithmetic number, because the mean of its divisors is an integer number (1066605657).

Almost surely, 2^2133211313 is an apocalyptic number.

It is an amenable number.

2133211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133211313 is an equidigital number, since it uses as much as digits as its factorization.

2133211313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 20.

The square root of 2133211313 is about 46186.7006074259. The cubic root of 2133211313 is about 1287.2946353944.

Adding to 2133211313 its reverse (3131123312), we get a palindrome (5264334625).

The spelling of 2133211313 in words is "two billion, one hundred thirty-three million, two hundred eleven thousand, three hundred thirteen".