131115360363000 has 256 divisors, whose sum is σ = 441569819658240. Its totient is φ = 32199663168000.

The previous prime is 131115360362977. The next prime is 131115360363041. The reversal of 131115360363000 is 363063511131.

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, 12908847 + ... + 20709153.

It is an arithmetic number, because the mean of its divisors is an integer number (1724882108040).

Almost surely, 2^{131115360363000} is an apocalyptic number.

131115360363000 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 131115360363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220784909829120).

131115360363000 is an abundant number, since it is smaller than the sum of its proper divisors (310454459295240).

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

131115360363000 is a wasteful number, since it uses less digits than its factorization.

131115360363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800775 (or 7800761 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 131115360363000 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred sixty million, three hundred sixty-three thousand".