2002123313 has 8 divisors (see below), whose sum is σ = 2067363840. Its totient is φ = 1936923840.

The previous prime is 2002123267. The next prime is 2002123351. The reversal of 2002123313 is 3133212002.

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 2002123313 - 2²² = 1997929009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002123291 and 2002123300.

It is not an unprimeable number, because it can be changed into a prime (2002123393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112256 + ... + 128862.

It is an arithmetic number, because the mean of its divisors is an integer number (258420480).

Almost surely, 2^2002123313 is an apocalyptic number.

It is an amenable number.

2002123313 is a deficient number, since it is larger than the sum of its proper divisors (65240527).

2002123313 is a wasteful number, since it uses less digits than its factorization.

2002123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527.

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

The square root of 2002123313 is about 44745.0926136040. The cubic root of 2002123313 is about 1260.3667599924.

Adding to 2002123313 its reverse (3133212002), we get a palindrome (5135335315).

It can be divided in two parts, 20021 and 23313, that added together give a palindrome (43334).

The spelling of 2002123313 in words is "two billion, two million, one hundred twenty-three thousand, three hundred thirteen".