123131253105 has 48 divisors (see below), whose sum is σ = 244696632960. Its totient is φ = 56108692224.

The previous prime is 123131253083. The next prime is 123131253107. The reversal of 123131253105 is 501352131321.

123131253105 is a `hidden beast` number, since 1 + 2 + 31 + 312 + 5 + 310 + 5 = 666.

It is not a de Polignac number, because 123131253105 - 2¹⁰ = 123131252081 is a prime.

It is a super-2 number, since 2×123131253105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123131253107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525835 + ... + 723024.

It is an arithmetic number, because the mean of its divisors is an integer number (5097846520).

Almost surely, 2^123131253105 is an apocalyptic number.

123131253105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123131253105 is a deficient number, since it is larger than the sum of its proper divisors (121565379855).

123131253105 is a wasteful number, since it uses less digits than its factorization.

123131253105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249190 (or 1249187 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 123131253105 its reverse (501352131321), we get a palindrome (624483384426).

The spelling of 123131253105 in words is "one hundred twenty-three billion, one hundred thirty-one million, two hundred fifty-three thousand, one hundred five".