10101313123 has 16 divisors (see below), whose sum is σ = 11212225920. Its totient is φ = 9022665600.

The previous prime is 10101313111. The next prime is 10101313127. The reversal of 10101313123 is 32131310101.

10101313123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101313123 - 2⁵ = 10101313091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101313097 and 10101313106.

It is not an unprimeable number, because it can be changed into a prime (10101313127) 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 15 ways as a sum of consecutive naturals, for example, 2023036 + ... + 2028022.

It is an arithmetic number, because the mean of its divisors is an integer number (700764120).

Almost surely, 2^10101313123 is an apocalyptic number.

10101313123 is a deficient number, since it is larger than the sum of its proper divisors (1110912797).

10101313123 is a wasteful number, since it uses less digits than its factorization.

10101313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10101313123 its reverse (32131310101), we get a palindrome (42232623224).

The spelling of 10101313123 in words is "ten billion, one hundred one million, three hundred thirteen thousand, one hundred twenty-three".