1023304013 has 2 divisors, whose sum is σ = 1023304014. Its totient is φ = 1023304012.

The previous prime is 1023303997. The next prime is 1023304031. The reversal of 1023304013 is 3104033201.

It is a happy number.

Together with next prime (1023304031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 759663844 + 263640169 = 27562^2 + 16237^2 .

It is an emirp because it is prime and its reverse (3104033201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023304013 - 2⁴ = 1023303997 is a prime.

It is a super-2 number, since 2×1023304013² = 2094302206043808338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023303982 and 1023304000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023604013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511652006 + 511652007.

It is an arithmetic number, because the mean of its divisors is an integer number (511652007).

Almost surely, 2^1023304013 is an apocalyptic number.

It is an amenable number.

1023304013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023304013 is an equidigital number, since it uses as much as digits as its factorization.

1023304013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1023304013 is about 31989.1233546654. The cubic root of 1023304013 is about 1007.7084317354.

Adding to 1023304013 its reverse (3104033201), we get a palindrome (4127337214).

The spelling of 1023304013 in words is "one billion, twenty-three million, three hundred four thousand, thirteen".