131342424411312 has 80 divisors (see below), whose sum is σ = 377003430236160. Its totient is φ = 43780572763200.

The previous prime is 131342424411301. The next prime is 131342424411313. The reversal of 131342424411312 is 213114424243131.

131342424411312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 42 + 42 + 441 + 131 + 2 = 666.

It is a super-2 number, since 2×131342424411312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (131342424411313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91751137 + ... + 93171647.

It is an arithmetic number, because the mean of its divisors is an integer number (4712542877952).

Almost surely, 2^{131342424411312} is an apocalyptic number.

131342424411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131342424411312 is an abundant number, since it is smaller than the sum of its proper divisors (245661005824848).

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

131342424411312 is a wasteful number, since it uses less digits than its factorization.

131342424411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634559 (or 1634547 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 131342424411312 its reverse (213114424243131), we get a palindrome (344456848654443).

The spelling of 131342424411312 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred twenty-four million, four hundred eleven thousand, three hundred twelve".