1023310313 has 2 divisors, whose sum is σ = 1023310314. Its totient is φ = 1023310312.

The previous prime is 1023310289. The next prime is 1023310331. The reversal of 1023310313 is 3130133201.

Together with next prime (1023310331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 807014464 + 216295849 = 28408^2 + 14707^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023310313 - 2¹⁰ = 1023309289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023310291 and 1023310300.

It is not a weakly prime, because it can be changed into another prime (1023310333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511655156 + 511655157.

It is an arithmetic number, because the mean of its divisors is an integer number (511655157).

Almost surely, 2^1023310313 is an apocalyptic number.

It is an amenable number.

1023310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023310313 is an equidigital number, since it uses as much as digits as its factorization.

1023310313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1023310313 is about 31989.2218254837. The cubic root of 1023310313 is about 1007.7104997263.

Adding to 1023310313 its reverse (3130133201), we get a palindrome (4153443514).

The spelling of 1023310313 in words is "one billion, twenty-three million, three hundred ten thousand, three hundred thirteen".