2002100213333 has 16 divisors (see below), whose sum is σ = 2185336359360. Its totient is φ = 1819068931200.

The previous prime is 2002100213317. The next prime is 2002100213359. The reversal of 2002100213333 is 3333120012002.

It is a cyclic number.

It is not a de Polignac number, because 2002100213333 - 2⁴ = 2002100213317 is a prime.

It is a super-2 number, since 2×2002100213333² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100213383) 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, 265914713 + ... + 265922241.

It is an arithmetic number, because the mean of its divisors is an integer number (136583522460).

Almost surely, 2^{2002100213333} is an apocalyptic number.

It is an amenable number.

2002100213333 is a deficient number, since it is larger than the sum of its proper divisors (183236146027).

2002100213333 is a wasteful number, since it uses less digits than its factorization.

2002100213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17908.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2002100213333 its reverse (3333120012002), we get a palindrome (5335220225335).

The spelling of 2002100213333 in words is "two trillion, two billion, one hundred million, two hundred thirteen thousand, three hundred thirty-three".