2001233313 has 24 divisors (see below), whose sum is σ = 2920155368. Its totient is φ = 1320613632.

The previous prime is 2001233309. The next prime is 2001233323. The reversal of 2001233313 is 3133321002.

It can be written as a sum of positive squares in 4 ways, for example, as 109244304 + 1891989009 = 10452^2 + 43497^2 .

It is not a de Polignac number, because 2001233313 - 2² = 2001233309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001233323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388845 + ... + 393957.

Almost surely, 2^2001233313 is an apocalyptic number.

It is an amenable number.

2001233313 is a deficient number, since it is larger than the sum of its proper divisors (918922055).

2001233313 is a wasteful number, since it uses less digits than its factorization.

2001233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2001233313 is about 44735.1462834313. The cubic root of 2001233313 is about 1260.1799761809.

Adding to 2001233313 its reverse (3133321002), we get a palindrome (5134554315).

The spelling of 2001233313 in words is "two billion, one million, two hundred thirty-three thousand, three hundred thirteen".