123132131313101 has 16 divisors (see below), whose sum is σ = 127170232470000. Its totient is φ = 119178862387200.

The previous prime is 123132131313053. The next prime is 123132131313119. The reversal of 123132131313101 is 101313131231321.

It can be written as a sum of positive squares in 8 ways, for example, as 5707297110025 + 117424834203076 = 2388995^2 + 10836274^2 .

It is a cyclic number.

It is not a de Polignac number, because 123132131313101 - 2¹⁰ = 123132131312077 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 (123132131313901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73062476 + ... + 74728773.

It is an arithmetic number, because the mean of its divisors is an integer number (7948139529375).

Almost surely, 2^{123132131313101} is an apocalyptic number.

It is an amenable number.

123132131313101 is a deficient number, since it is larger than the sum of its proper divisors (4038101156899).

123132131313101 is a wasteful number, since it uses less digits than its factorization.

123132131313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147791536.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 123132131313101 its reverse (101313131231321), we get a palindrome (224445262544422).

The spelling of 123132131313101 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred one".