1000020313 has 2 divisors, whose sum is σ = 1000020314. Its totient is φ = 1000020312.

The previous prime is 1000020283. The next prime is 1000020319. The reversal of 1000020313 is 3130200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 586995984 + 413024329 = 24228^2 + 20323^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000020313 - 2¹³ = 1000012121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000020313.

It is not a weakly prime, because it can be changed into another prime (1000020319) 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, 500010156 + 500010157.

It is an arithmetic number, because the mean of its divisors is an integer number (500010157).

Almost surely, 2^1000020313 is an apocalyptic number.

It is an amenable number.

1000020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000020313 is an equidigital number, since it uses as much as digits as its factorization.

1000020313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1000020313 is about 31623.0977767833. The cubic root of 1000020313 is about 1000.0067709542.

Adding to 1000020313 its reverse (3130200001), we get a palindrome (4130220314).

The spelling of 1000020313 in words is "one billion, twenty thousand, three hundred thirteen".