2010000000013 has 2 divisors, whose sum is σ = 2010000000014. Its totient is φ = 2010000000012.

The previous prime is 2009999999993. The next prime is 2010000000031. The reversal of 2010000000013 is 3100000000102.

Together with next prime (2010000000031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1783178317449 + 226821682564 = 1335357^2 + 476258^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010000000013 - 2¹³ = 2009999991821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2009999999933 and 2010000000005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010000003013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005000000006 + 1005000000007.

It is an arithmetic number, because the mean of its divisors is an integer number (1005000000007).

Almost surely, 2^{2010000000013} is an apocalyptic number.

It is an amenable number.

2010000000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010000000013 is an equidigital number, since it uses as much as digits as its factorization.

2010000000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 2010000000013 its reverse (3100000000102), we get a palindrome (5110000000115).

The spelling of 2010000000013 in words is "two trillion, ten billion, thirteen", and thus it is an aban number and an uban number.