2002112100013 has 2 divisors, whose sum is σ = 2002112100014. Its totient is φ = 2002112100012.

The previous prime is 2002112099927. The next prime is 2002112100029. The reversal of 2002112100013 is 3100012112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1195057816969 + 807054283044 = 1093187^2 + 898362^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112100013 - 2²¹ = 2002110002861 is a prime.

It is a super-2 number, since 2×2002112100013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002112099966 and 2002112100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002112140013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056050006 + 1001056050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056050007).

Almost surely, 2^{2002112100013} is an apocalyptic number.

It is an amenable number.

2002112100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112100013 is an equidigital number, since it uses as much as digits as its factorization.

2002112100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2002112100013 its reverse (3100012112002), we get a palindrome (5102124212015).

The spelling of 2002112100013 in words is "two trillion, two billion, one hundred twelve million, one hundred thousand, thirteen".