1010200200013 has 2 divisors, whose sum is σ = 1010200200014. Its totient is φ = 1010200200012.

The previous prime is 1010200200007. The next prime is 1010200200047. The reversal of 1010200200013 is 3100020020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1003607247204 + 6592952809 = 1001802^2 + 81197^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010200200013 - 2³⁷ = 872761246541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010200200083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505100100006 + 505100100007.

It is an arithmetic number, because the mean of its divisors is an integer number (505100100007).

Almost surely, 2^{1010200200013} is an apocalyptic number.

It is an amenable number.

1010200200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010200200013 is an equidigital number, since it uses as much as digits as its factorization.

1010200200013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1010200200013 its reverse (3100020020101), we get a palindrome (4110220220114).

The spelling of 1010200200013 in words is "one trillion, ten billion, two hundred million, two hundred thousand, thirteen".