101313203123 has 16 divisors (see below), whose sum is σ = 113529034080. Its totient is φ = 89599104000.

The previous prime is 101313203113. The next prime is 101313203137. The reversal of 101313203123 is 321302313101.

It is a cyclic number.

It is not a de Polignac number, because 101313203123 - 2⁴ = 101313203107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101313203095 and 101313203104.

It is not an unprimeable number, because it can be changed into a prime (101313203113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3072323 + ... + 3105123.

It is an arithmetic number, because the mean of its divisors is an integer number (7095564630).

Almost surely, 2^101313203123 is an apocalyptic number.

101313203123 is a deficient number, since it is larger than the sum of its proper divisors (12215830957).

101313203123 is a wasteful number, since it uses less digits than its factorization.

101313203123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40438.

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

Adding to 101313203123 its reverse (321302313101), we get a palindrome (422615516224).

The spelling of 101313203123 in words is "one hundred one billion, three hundred thirteen million, two hundred three thousand, one hundred twenty-three".