131366680536 has 384 divisors, whose sum is σ = 428759654400. Its totient is φ = 33207874560.

The previous prime is 131366680519. The next prime is 131366680547. The reversal of 131366680536 is 635086663131.

It is a happy number.

It is a super-3 number, since 3×131366680536³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51656881 + ... + 51659423.

It is an arithmetic number, because the mean of its divisors is an integer number (1116561600).

Almost surely, 2^131366680536 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 131366680536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214379827200).

131366680536 is an abundant number, since it is smaller than the sum of its proper divisors (297392973864).

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

131366680536 is a wasteful number, since it uses less digits than its factorization.

131366680536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 131366680536 in words is "one hundred thirty-one billion, three hundred sixty-six million, six hundred eighty thousand, five hundred thirty-six".