2002110202013 has 2 divisors, whose sum is σ = 2002110202014. Its totient is φ = 2002110202012.

The previous prime is 2002110202009. The next prime is 2002110202049. The reversal of 2002110202013 is 3102020112002.

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., 1325302883524 + 676807318489 = 1151218^2 + 822683^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002110202013 - 2² = 2002110202009 is a prime.

It is a super-2 number, since 2×2002110202013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002110202003) 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, 1001055101006 + 1001055101007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055101007).

Almost surely, 2^{2002110202013} is an apocalyptic number.

It is an amenable number.

2002110202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002110202013 is an equidigital number, since it uses as much as digits as its factorization.

2002110202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2002110202013 its reverse (3102020112002), we get a palindrome (5104130314015).

The spelling of 2002110202013 in words is "two trillion, two billion, one hundred ten million, two hundred two thousand, thirteen".