1000012513 has 2 divisors, whose sum is σ = 1000012514. Its totient is φ = 1000012512.

The previous prime is 1000012501. The next prime is 1000012523. The reversal of 1000012513 is 3152100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992439009 + 7573504 = 31503^2 + 2752^2 .

It is an emirp because it is prime and its reverse (3152100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000012513 - 2¹³ = 1000004321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000012493 and 1000012502.

It is not a weakly prime, because it can be changed into another prime (1000012523) 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, 500006256 + 500006257.

It is an arithmetic number, because the mean of its divisors is an integer number (500006257).

Almost surely, 2^1000012513 is an apocalyptic number.

It is an amenable number.

1000012513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000012513 is an equidigital number, since it uses as much as digits as its factorization.

1000012513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1000012513 is about 31622.9744489667. The cubic root of 1000012513 is about 1000.0041709826.

Adding to 1000012513 its reverse (3152100001), we get a palindrome (4152112514).

The spelling of 1000012513 in words is "one billion, twelve thousand, five hundred thirteen".