1020000013 has 2 divisors, whose sum is σ = 1020000014. Its totient is φ = 1020000012.

The previous prime is 1020000011. The next prime is 1020000061. The reversal of 1020000013 is 3100000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 942612804 + 77387209 = 30702^2 + 8797^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020000013 - 2¹ = 1020000011 is a prime.

Together with 1020000011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1019999960 and 1020000005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510000006 + 510000007.

It is an arithmetic number, because the mean of its divisors is an integer number (510000007).

Almost surely, 2^1020000013 is an apocalyptic number.

It is an amenable number.

1020000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020000013 is an equidigital number, since it uses as much as digits as its factorization.

1020000013 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.

The square root of 1020000013 is about 31937.4390488655. The cubic root of 1020000013 is about 1006.6227138366.

Adding to 1020000013 its reverse (3100000201), we get a palindrome (4120000214).

The spelling of 1020000013 in words is "one billion, twenty million, thirteen", and thus it is an aban number and an uban number.