131813308782 has 96 divisors (see below), whose sum is σ = 307100390688. Its totient is φ = 40713228288.

The previous prime is 131813308751. The next prime is 131813308787. The reversal of 131813308782 is 287803318131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131813308787) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7432758 + ... + 7450470.

It is an arithmetic number, because the mean of its divisors is an integer number (3198962403).

Almost surely, 2^131813308782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131813308782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153550195344).

131813308782 is an abundant number, since it is smaller than the sum of its proper divisors (175287081906).

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

131813308782 is a wasteful number, since it uses less digits than its factorization.

131813308782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18114 (or 18111 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 131813308782 in words is "one hundred thirty-one billion, eight hundred thirteen million, three hundred eight thousand, seven hundred eighty-two".