20002100012113 has 2 divisors, whose sum is σ = 20002100012114. Its totient is φ = 20002100012112.

The previous prime is 20002100012099. The next prime is 20002100012179. The reversal of 20002100012113 is 31121000120002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13904598258769 + 6097501753344 = 3728887^2 + 2469312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20002100012113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20002100012093 and 20002100012102.

It is not a weakly prime, because it can be changed into another prime (20002100012413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001050006056 + 10001050006057.

It is an arithmetic number, because the mean of its divisors is an integer number (10001050006057).

Almost surely, 2^{20002100012113} is an apocalyptic number.

It is an amenable number.

20002100012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002100012113 is an equidigital number, since it uses as much as digits as its factorization.

20002100012113 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 20002100012113 its reverse (31121000120002), we get a palindrome (51123100132115).

The spelling of 20002100012113 in words is "twenty trillion, two billion, one hundred million, twelve thousand, one hundred thirteen".