123315302540101 has 24 divisors (see below), whose sum is σ = 144505053083160. Its totient is φ = 104920356183552.

The previous prime is 123315302540077. The next prime is 123315302540119. The reversal of 123315302540101 is 101045203513321.

It can be written as a sum of positive squares in 4 ways, for example, as 21637624443876 + 101677678096225 = 4651626^2 + 10083535^2 .

It is not a de Polignac number, because 123315302540101 - 2¹⁵ = 123315302507333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123315302543101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102034311 + ... + 103235803.

It is an arithmetic number, because the mean of its divisors is an integer number (6021043878465).

Almost surely, 2^{123315302540101} is an apocalyptic number.

It is an amenable number.

123315302540101 is a deficient number, since it is larger than the sum of its proper divisors (21189750543059).

123315302540101 is a wasteful number, since it uses less digits than its factorization.

123315302540101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216933 (or 1216926 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 123315302540101 in words is "one hundred twenty-three trillion, three hundred fifteen billion, three hundred two million, five hundred forty thousand, one hundred one".