10330123013 has 6 divisors (see below), whose sum is σ = 12016673766. Its totient is φ = 8854391112.

The previous prime is 10330123007. The next prime is 10330123057. The reversal of 10330123013 is 31032103301.

10330123013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9377598244 + 952524769 = 96838^2 + 30863^2 .

It is not a de Polignac number, because 10330123013 - 2⁶ = 10330122949 is a prime.

It is a super-2 number, since 2×10330123013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10330122982 and 10330123000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330123003) 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, 105409370 + ... + 105409467.

It is an arithmetic number, because the mean of its divisors is an integer number (2002778961).

Almost surely, 2^10330123013 is an apocalyptic number.

It is an amenable number.

10330123013 is a deficient number, since it is larger than the sum of its proper divisors (1686550753).

10330123013 is an equidigital number, since it uses as much as digits as its factorization.

10330123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210818851 (or 210818844 counting only the distinct ones).

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

Adding to 10330123013 its reverse (31032103301), we get a palindrome (41362226314).

The spelling of 10330123013 in words is "ten billion, three hundred thirty million, one hundred twenty-three thousand, thirteen".