1010010013 has 2 divisors, whose sum is σ = 1010010014. Its totient is φ = 1010010012.

The previous prime is 1010010011. The next prime is 1010010019. The reversal of 1010010013 is 3100100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 836482084 + 173527929 = 28922^2 + 13173^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010013 - 2¹ = 1010010011 is a prime.

Together with 1010010011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1010009978 and 1010010005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005006 + 505005007.

It is an arithmetic number, because the mean of its divisors is an integer number (505005007).

Almost surely, 2^1010010013 is an apocalyptic number.

It is an amenable number.

1010010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010013 is an equidigital number, since it uses as much as digits as its factorization.

1010010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1010010013 is about 31780.6546974728. The cubic root of 1010010013 is about 1003.3255991305.

Adding to 1010010013 its reverse (3100100101), we get a palindrome (4110110114).

The spelling of 1010010013 in words is "one billion, ten million, ten thousand, thirteen".