2133213313 has 32 divisors (see below), whose sum is σ = 2731680000. Its totient is φ = 1617408000.

The previous prime is 2133213293. The next prime is 2133213343. The reversal of 2133213313 is 3133123312.

It is a cyclic number.

It is not a de Polignac number, because 2133213313 - 2⁹ = 2133212801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2133213343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707313 + ... + 1708561.

It is an arithmetic number, because the mean of its divisors is an integer number (85365000).

Almost surely, 2^2133213313 is an apocalyptic number.

It is an amenable number.

2133213313 is a deficient number, since it is larger than the sum of its proper divisors (598466687).

2133213313 is a wasteful number, since it uses less digits than its factorization.

2133213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849.

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

The square root of 2133213313 is about 46186.7222586752. The cubic root of 2133213313 is about 1287.2950376969.

Adding to 2133213313 its reverse (3133123312), we get a palindrome (5266336625).

Subtracting 2133213313 from its reverse (3133123312), we obtain a palindrome (999909999).

The spelling of 2133213313 in words is "two billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred thirteen".