131035320144000 has 384 divisors, whose sum is σ = 470618033886000. Its totient is φ = 34939971993600.

The previous prime is 131035320143977. The next prime is 131035320144017. The reversal of 131035320144000 is 441023530131.

It is a happy number.

131035320144000 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 53 + 201 + 4 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10264539484224 + 120770780659776 = 3203832^2 + 10989576^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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, 2331187896 + ... + 2331244104.

Almost surely, 2^{131035320144000} is an apocalyptic number.

131035320144000 is a gapful number since it is divisible by the number (10) 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 131035320144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235309016943000).

131035320144000 is an abundant number, since it is smaller than the sum of its proper divisors (339582713742000).

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

131035320144000 is a wasteful number, since it uses less digits than its factorization.

131035320144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72433 (or 72408 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131035320144000 its reverse (441023530131), we get a palindrome (131476343674131).

The spelling of 131035320144000 in words is "one hundred thirty-one trillion, thirty-five billion, three hundred twenty million, one hundred forty-four thousand".