131058131305668 has 384 divisors, whose sum is σ = 377027481600000. Its totient is φ = 35360306537472.

The previous prime is 131058131305613. The next prime is 131058131305669. The reversal of 131058131305668 is 866503131850131.

It is a self number, because there is not a number n which added to its sum of digits gives 131058131305668.

It is not an unprimeable number, because it can be changed into a prime (131058131305669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9026656513 + ... + 9026671031.

It is an arithmetic number, because the mean of its divisors is an integer number (981842400000).

Almost surely, 2^{131058131305668} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131058131305668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188513740800000).

131058131305668 is an abundant number, since it is smaller than the sum of its proper divisors (245969350294332).

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

131058131305668 is a wasteful number, since it uses less digits than its factorization.

131058131305668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16232 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 131058131305668 in words is "one hundred thirty-one trillion, fifty-eight billion, one hundred thirty-one million, three hundred five thousand, six hundred sixty-eight".