101310123013 has 16 divisors (see below), whose sum is σ = 111360170880. Its totient is φ = 91400486400.

The previous prime is 101310122999. The next prime is 101310123023. The reversal of 101310123013 is 310321013101.

It is a cyclic number.

It is not a de Polignac number, because 101310123013 - 2²⁹ = 100773252101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310123023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6368173 + ... + 6384061.

It is an arithmetic number, because the mean of its divisors is an integer number (6960010680).

Almost surely, 2^101310123013 is an apocalyptic number.

It is an amenable number.

101310123013 is a deficient number, since it is larger than the sum of its proper divisors (10050047867).

101310123013 is a wasteful number, since it uses less digits than its factorization.

101310123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20268.

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

Adding to 101310123013 its reverse (310321013101), we get a palindrome (411631136114).

The spelling of 101310123013 in words is "one hundred one billion, three hundred ten million, one hundred twenty-three thousand, thirteen".