2002213313 has 8 divisors (see below), whose sum is σ = 2010402816. Its totient is φ = 1994040000.

The previous prime is 2002213289. The next prime is 2002213333. The reversal of 2002213313 is 3133122002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002213313 - 2¹⁴ = 2002196929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002213291 and 2002213300.

It is not an unprimeable number, because it can be changed into a prime (2002213333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284153 + ... + 291113.

It is an arithmetic number, because the mean of its divisors is an integer number (251300352).

Almost surely, 2^2002213313 is an apocalyptic number.

It is an amenable number.

2002213313 is a deficient number, since it is larger than the sum of its proper divisors (8189503).

2002213313 is an equidigital number, since it uses as much as digits as its factorization.

2002213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2002213313 is about 44746.0982991813. The cubic root of 2002213313 is about 1260.3856451610.

Adding to 2002213313 its reverse (3133122002), we get a palindrome (5135335315).

The spelling of 2002213313 in words is "two billion, two million, two hundred thirteen thousand, three hundred thirteen".