131030320344000 has 448 divisors, whose sum is σ = 539422907692032. Its totient is φ = 27227079168000.

The previous prime is 131030320343987. The next prime is 131030320344019. The reversal of 131030320344000 is 443023030131.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33603927 + ... + 37299926.

It is an arithmetic number, because the mean of its divisors is an integer number (1204068990384).

Almost surely, 2^{131030320344000} is an apocalyptic number.

131030320344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131030320344000 is an abundant number, since it is smaller than the sum of its proper divisors (408392587348032).

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

131030320344000 is a wasteful number, since it uses less digits than its factorization.

131030320344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70903901 (or 70903881 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131030320344000 its reverse (443023030131), we get a palindrome (131473343374131).

The spelling of 131030320344000 in words is "one hundred thirty-one trillion, thirty billion, three hundred twenty million, three hundred forty-four thousand".