10023253313 has 6 divisors (see below), whose sum is σ = 10273687302. Its totient is φ = 9778782080.

The previous prime is 10023253307. The next prime is 10023253319. The reversal of 10023253313 is 31335232001.

10023253313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10023253307) and next prime (10023253319).

It can be written as a sum of positive squares in 3 ways, for example, as 287879089 + 9735374224 = 16967^2 + 98668^2 .

It is not a de Polignac number, because 10023253313 - 2⁴ = 10023253297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10023253319) 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 in 5 ways as a sum of consecutive naturals, for example, 2979656 + ... + 2983017.

It is an arithmetic number, because the mean of its divisors is an integer number (1712281217).

Almost surely, 2^10023253313 is an apocalyptic number.

It is an amenable number.

10023253313 is a deficient number, since it is larger than the sum of its proper divisors (250433989).

10023253313 is an frugal number, since it uses more digits than its factorization.

10023253313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962755 (or 5962714 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 10023253313 its reverse (31335232001), we get a palindrome (41358485314).

The spelling of 10023253313 in words is "ten billion, twenty-three million, two hundred fifty-three thousand, three hundred thirteen".