2000010002113 has 2 divisors, whose sum is σ = 2000010002114. Its totient is φ = 2000010002112.

The previous prime is 2000010002057. The next prime is 2000010002161. The reversal of 2000010002113 is 3112000100002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1410175250064 + 589834752049 = 1187508^2 + 768007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000010002113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000010002113.

It is not a weakly prime, because it can be changed into another prime (2000010002713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000005001056 + 1000005001057.

It is an arithmetic number, because the mean of its divisors is an integer number (1000005001057).

Almost surely, 2^{2000010002113} is an apocalyptic number.

It is an amenable number.

2000010002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000010002113 is an equidigital number, since it uses as much as digits as its factorization.

2000010002113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2000010002113 its reverse (3112000100002), we get a palindrome (5112010102115).

The spelling of 2000010002113 in words is "two trillion, ten million, two thousand, one hundred thirteen".