1020001013 has 2 divisors, whose sum is σ = 1020001014. Its totient is φ = 1020001012.

The previous prime is 1020001001. The next prime is 1020001039. The reversal of 1020001013 is 3101000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1014231409 + 5769604 = 31847^2 + 2402^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020001013 - 2¹⁰ = 1019999989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020001063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510000506 + 510000507.

It is an arithmetic number, because the mean of its divisors is an integer number (510000507).

Almost surely, 2^1020001013 is an apocalyptic number.

It is an amenable number.

1020001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020001013 is an equidigital number, since it uses as much as digits as its factorization.

1020001013 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 8.

The square root of 1020001013 is about 31937.4547044689. The cubic root of 1020001013 is about 1006.6230427982.

Adding to 1020001013 its reverse (3101000201), we get a palindrome (4121001214).

The spelling of 1020001013 in words is "one billion, twenty million, one thousand, thirteen".