10123123313 has 4 divisors (see below), whose sum is σ = 10185228528. Its totient is φ = 10061018100.

The previous prime is 10123123289. The next prime is 10123123321. The reversal of 10123123313 is 31332132101.

10123123313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10123123313 - 2¹⁸ = 10122861169 is a prime.

It is a super-2 number, since 2×10123123313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10123123333) 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 3 ways as a sum of consecutive naturals, for example, 31052363 + ... + 31052688.

It is an arithmetic number, because the mean of its divisors is an integer number (2546307132).

Almost surely, 2^10123123313 is an apocalyptic number.

It is an amenable number.

10123123313 is a deficient number, since it is larger than the sum of its proper divisors (62105215).

10123123313 is an equidigital number, since it uses as much as digits as its factorization.

10123123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62105214.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10123123313 its reverse (31332132101), we get a palindrome (41455255414).

The spelling of 10123123313 in words is "ten billion, one hundred twenty-three million, one hundred twenty-three thousand, three hundred thirteen".