2002023013 has 2 divisors, whose sum is σ = 2002023014. Its totient is φ = 2002023012.

The previous prime is 2002023011. The next prime is 2002023019. The reversal of 2002023013 is 3103202002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1561988484 + 440034529 = 39522^2 + 20977^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002023013 - 2¹ = 2002023011 is a prime.

It is a super-2 number, since 2×2002023013² = 8016192289163196338, which contains 22 as substring.

Together with 2002023011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2002022984 and 2002023002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002023011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001011506 + 1001011507.

It is an arithmetic number, because the mean of its divisors is an integer number (1001011507).

Almost surely, 2^2002023013 is an apocalyptic number.

It is an amenable number.

2002023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002023013 is an equidigital number, since it uses as much as digits as its factorization.

2002023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2002023013 is about 44743.9718062668. The cubic root of 2002023013 is about 1260.3457128544.

Adding to 2002023013 its reverse (3103202002), we get a palindrome (5105225015).

The spelling of 2002023013 in words is "two billion, two million, twenty-three thousand, thirteen".