131165617781088 has 384 divisors, whose sum is σ = 420382768458240. Its totient is φ = 39458317916160.

The previous prime is 131165617780993. The next prime is 131165617781117. The reversal of 131165617781088 is 880187716561131.

131165617781088 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 5 + 617 + 7 + 8 + 1 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1675620606 + ... + 1675698882.

It is an arithmetic number, because the mean of its divisors is an integer number (1094746792860).

Almost surely, 2^{131165617781088} is an apocalyptic number.

131165617781088 is a gapful number since it is divisible by the number (18) 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 131165617781088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210191384229120).

131165617781088 is an abundant number, since it is smaller than the sum of its proper divisors (289217150677152).

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

131165617781088 is a wasteful number, since it uses less digits than its factorization.

131165617781088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79587 (or 79573 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 63.

The spelling of 131165617781088 in words is "one hundred thirty-one trillion, one hundred sixty-five billion, six hundred seventeen million, seven hundred eighty-one thousand, eighty-eight".