131310101100123 has 24 divisors (see below), whose sum is σ = 207218518721136. Its totient is φ = 79464328632000.

The previous prime is 131310101100109. The next prime is 131310101100151. The reversal of 131310101100123 is 321001101013131.

131310101100123 is a `hidden beast` number, since 1 + 31 + 310 + 101 + 100 + 123 = 666.

It is not a de Polignac number, because 131310101100123 - 2²⁰ = 131310100051547 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131310101100096 and 131310101100105.

It is not an unprimeable number, because it can be changed into a prime (131310101100623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979522828 + ... + 979656873.

It is an arithmetic number, because the mean of its divisors is an integer number (8634104946714).

Almost surely, 2^{131310101100123} is an apocalyptic number.

131310101100123 is a deficient number, since it is larger than the sum of its proper divisors (75908417621013).

131310101100123 is a wasteful number, since it uses less digits than its factorization.

131310101100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959180395 (or 1959180392 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131310101100123 its reverse (321001101013131), we get a palindrome (452311202113254).

The spelling of 131310101100123 in words is "one hundred thirty-one trillion, three hundred ten billion, one hundred one million, one hundred thousand, one hundred twenty-three".