131142114200112 has 160 divisors (see below), whose sum is σ = 363604118680320. Its totient is φ = 40605887554560.

The previous prime is 131142114200099. The next prime is 131142114200147. The reversal of 131142114200112 is 211002411241131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13917183 + ... + 21353505.

It is an arithmetic number, because the mean of its divisors is an integer number (2272525741752).

Almost surely, 2^{131142114200112} is an apocalyptic number.

131142114200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131142114200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181802059340160).

131142114200112 is an abundant number, since it is smaller than the sum of its proper divisors (232462004480208).

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

131142114200112 is a wasteful number, since it uses less digits than its factorization.

131142114200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436731 (or 7436725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 131142114200112 its reverse (211002411241131), we get a palindrome (342144525441243).

The spelling of 131142114200112 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred fourteen million, two hundred thousand, one hundred twelve".