131059363263500 has 192 divisors, whose sum is σ = 328191715488000. Its totient is φ = 44788101120000.

The previous prime is 131059363263443. The next prime is 131059363263527. The reversal of 131059363263500 is 5362363950131.

131059363263500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3284593550 + ... + 3284633450.

It is an arithmetic number, because the mean of its divisors is an integer number (1709331851500).

Almost surely, 2^{131059363263500} is an apocalyptic number.

131059363263500 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 131059363263500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164095857744000).

131059363263500 is an abundant number, since it is smaller than the sum of its proper divisors (197132352224500).

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

131059363263500 is a wasteful number, since it uses less digits than its factorization.

131059363263500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42965 (or 42953 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 47.

The spelling of 131059363263500 in words is "one hundred thirty-one trillion, fifty-nine billion, three hundred sixty-three million, two hundred sixty-three thousand, five hundred".