131342313303144 has 192 divisors, whose sum is σ = 361745217475200. Its totient is φ = 43042638912000.

The previous prime is 131342313303121. The next prime is 131342313303167. The reversal of 131342313303144 is 441303313243131.

131342313303144 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 3 + 1 + 330 + 314 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131342313303121) and next prime (131342313303167).

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

It is a junction number, because it is equal to n+sod(n) for n = 131342313303099 and 131342313303108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4305019762 + ... + 4305050270.

It is an arithmetic number, because the mean of its divisors is an integer number (1884089674350).

Almost surely, 2^{131342313303144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131342313303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180872608737600).

131342313303144 is an abundant number, since it is smaller than the sum of its proper divisors (230402904172056).

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

131342313303144 is a wasteful number, since it uses less digits than its factorization.

131342313303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32936 (or 32929 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 131342313303144 its reverse (441303313243131), we get a palindrome (572645626546275).

The spelling of 131342313303144 in words is "one hundred thirty-one trillion, three hundred forty-two billion, three hundred thirteen million, three hundred three thousand, one hundred forty-four".