101001310123023 has 12 divisors (see below), whose sum is σ = 146238969316440. Its totient is φ = 67173504582096.

The previous prime is 101001310123009. The next prime is 101001310123073. The reversal of 101001310123023 is 320321013100101.

101001310123023 is a `hidden beast` number, since 1 + 0 + 100 + 1 + 310 + 1 + 230 + 23 = 666.

It is not a de Polignac number, because 101001310123023 - 2⁸ = 101001310122767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001310122987 and 101001310123005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001310123003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13391843236 + ... + 13391850777.

It is an arithmetic number, because the mean of its divisors is an integer number (12186580776370).

Almost surely, 2^{101001310123023} is an apocalyptic number.

101001310123023 is a deficient number, since it is larger than the sum of its proper divisors (45237659193417).

101001310123023 is a wasteful number, since it uses less digits than its factorization.

101001310123023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26783694438 (or 26783694435 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101001310123023 its reverse (320321013100101), we get a palindrome (421322323223124).

The spelling of 101001310123023 in words is "one hundred one trillion, one billion, three hundred ten million, one hundred twenty-three thousand, twenty-three".