10013323313 has 6 divisors (see below), whose sum is σ = 11648151666. Its totient is φ = 8582848512.

The previous prime is 10013323303. The next prime is 10013323403. The reversal of 10013323313 is 31332331001.

It can be written as a sum of positive squares in only one way, i.e., 9660334369 + 352988944 = 98287^2 + 18788^2 .

It is not a de Polignac number, because 10013323313 - 2¹⁶ = 10013257777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013323303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102176720 + ... + 102176817.

It is an arithmetic number, because the mean of its divisors is an integer number (1941358611).

Almost surely, 2^10013323313 is an apocalyptic number.

It is an amenable number.

10013323313 is a deficient number, since it is larger than the sum of its proper divisors (1634828353).

10013323313 is an equidigital number, since it uses as much as digits as its factorization.

10013323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204353551 (or 204353544 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10013323313 its reverse (31332331001), we get a palindrome (41345654314).

The spelling of 10013323313 in words is "ten billion, thirteen million, three hundred twenty-three thousand, three hundred thirteen".