2133313 has 24 divisors (see below), whose sum is σ = 2844072. Its totient is φ = 1580544.

The previous prime is 2133311. The next prime is 2133331. The reversal of 2133313 is 3133312.

It can be written as a sum of positive squares in 4 ways, for example, as 815409 + 1317904 = 903^2 + 1148^2 .

It is not a de Polignac number, because 2133313 - 2¹ = 2133311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10731 + ... + 10927.

It is an arithmetic number, because the mean of its divisors is an integer number (118503).

2^2133313 is an apocalyptic number.

It is an amenable number.

2133313 is a deficient number, since it is larger than the sum of its proper divisors (710759).

2133313 is a wasteful number, since it uses less digits than its factorization.

2133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its digits is 162, while the sum is 16.

The square root of 2133313 is about 1460.5865260230. The cubic root of 2133313 is about 128.7315089541.

Adding to 2133313 its reverse (3133312), we get a palindrome (5266625).

Subtracting 2133313 from its reverse (3133312), we obtain a palindrome (999999).

The spelling of 2133313 in words is "two million, one hundred thirty-three thousand, three hundred thirteen".