131058131305600 has 384 divisors, whose sum is σ = 330599773296000. Its totient is φ = 51326636359680.

The previous prime is 131058131305561. The next prime is 131058131305601. The reversal of 131058131305600 is 6503131850131.

It is a self number, because there is not a number n which added to its sum of digits gives 131058131305600.

It is not an unprimeable number, because it can be changed into a prime (131058131305601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21709145782 + ... + 21709151818.

It is an arithmetic number, because the mean of its divisors is an integer number (860936909625).

Almost surely, 2^{131058131305600} is an apocalyptic number.

131058131305600 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 131058131305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165299886648000).

131058131305600 is an abundant number, since it is smaller than the sum of its proper divisors (199541641990400).

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

131058131305600 is a wasteful number, since it uses less digits than its factorization.

131058131305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 131058131305600 in words is "one hundred thirty-one trillion, fifty-eight billion, one hundred thirty-one million, three hundred five thousand, six hundred".