2002033313 has 4 divisors (see below), whose sum is σ = 2288038080. Its totient is φ = 1716028548.

The previous prime is 2002033301. The next prime is 2002033337. The reversal of 2002033313 is 3133302002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3133302002 = 2 ⋅1566651001.

It is a cyclic number.

It is not a de Polignac number, because 2002033313 - 2¹⁰ = 2002032289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002033291 and 2002033300.

It is not an unprimeable number, because it can be changed into a prime (2002033613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143002373 + ... + 143002386.

It is an arithmetic number, because the mean of its divisors is an integer number (572009520).

Almost surely, 2^2002033313 is an apocalyptic number.

It is an amenable number.

2002033313 is a deficient number, since it is larger than the sum of its proper divisors (286004767).

2002033313 is an equidigital number, since it uses as much as digits as its factorization.

2002033313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286004766.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2002033313 is about 44744.0869054225. The cubic root of 2002033313 is about 1260.3478742579.

Adding to 2002033313 its reverse (3133302002), we get a palindrome (5135335315).

The spelling of 2002033313 in words is "two billion, two million, thirty-three thousand, three hundred thirteen".