131134412112 has 60 divisors (see below), whose sum is σ = 372360334080. Its totient is φ = 39737698880.

The previous prime is 131134412083. The next prime is 131134412141. The reversal of 131134412112 is 211214431131.

It is an interprime number because it is at equal distance from previous prime (131134412083) and next prime (131134412141).

It is a super-3 number, since 3×131134412112³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11283312 + ... + 11294927.

It is an arithmetic number, because the mean of its divisors is an integer number (6206005568).

Almost surely, 2^131134412112 is an apocalyptic number.

131134412112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131134412112 is an abundant number, since it is smaller than the sum of its proper divisors (241225921968).

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

131134412112 is a wasteful number, since it uses less digits than its factorization.

131134412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22578272 (or 22578255 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 131134412112 its reverse (211214431131), we get a palindrome (342348843243).

The spelling of 131134412112 in words is "one hundred thirty-one billion, one hundred thirty-four million, four hundred twelve thousand, one hundred twelve".