131300123112 has 48 divisors (see below), whose sum is σ = 365215439940. Its totient is φ = 42583822848.

The previous prime is 131300123111. The next prime is 131300123153. The reversal of 131300123112 is 211321003131.

131300123112 is a `hidden beast` number, since 131 + 300 + 1 + 231 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129345245316 + 1954877796 = 359646^2 + 44214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131300123111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24640753 + ... + 24646080.

Almost surely, 2^131300123112 is an apocalyptic number.

131300123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131300123112 is an abundant number, since it is smaller than the sum of its proper divisors (233915316828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131300123112 is a wasteful number, since it uses less digits than its factorization.

131300123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49286882 (or 49286875 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131300123112 its reverse (211321003131), we get a palindrome (342621126243).

The spelling of 131300123112 in words is "one hundred thirty-one billion, three hundred million, one hundred twenty-three thousand, one hundred twelve".