10123113313 has 2 divisors, whose sum is σ = 10123113314. Its totient is φ = 10123113312.

The previous prime is 10123113311. The next prime is 10123113337. The reversal of 10123113313 is 31331132101.

10123113313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9264447504 + 858665809 = 96252^2 + 29303^2 .

It is an emirp because it is prime and its reverse (31331132101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123113313 - 2¹ = 10123113311 is a prime.

Together with 10123113311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10123113311) 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 as a sum of consecutive naturals, namely, 5061556656 + 5061556657.

It is an arithmetic number, because the mean of its divisors is an integer number (5061556657).

Almost surely, 2^10123113313 is an apocalyptic number.

It is an amenable number.

10123113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123113313 is an equidigital number, since it uses as much as digits as its factorization.

10123113313 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 19.

Adding to 10123113313 its reverse (31331132101), we get a palindrome (41454245414).

The spelling of 10123113313 in words is "ten billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred thirteen".