2002213331 has 16 divisors (see below), whose sum is σ = 2204820000. Its totient is φ = 1810803456.

The previous prime is 2002213289. The next prime is 2002213333. The reversal of 2002213331 is 1333122002.

It is a cyclic number.

It is not a de Polignac number, because 2002213331 - 2¹⁸ = 2001951187 is a prime.

It is a super-3 number, since 3×2002213331³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 28625 + ... + 69453.

It is an arithmetic number, because the mean of its divisors is an integer number (137801250).

Almost surely, 2^2002213331 is an apocalyptic number.

2002213331 is a deficient number, since it is larger than the sum of its proper divisors (202606669).

2002213331 is a wasteful number, since it uses less digits than its factorization.

2002213331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40966.

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

The square root of 2002213331 is about 44746.0985003162. The cubic root of 2002213331 is about 1260.3856489380.

Adding to 2002213331 its reverse (1333122002), we get a palindrome (3335335333).

The spelling of 2002213331 in words is "two billion, two million, two hundred thirteen thousand, three hundred thirty-one".