131083765360 has 80 divisors (see below), whose sum is σ = 325449527040. Its totient is φ = 48992348160.

The previous prime is 131083765357. The next prime is 131083765361. The reversal of 131083765360 is 63567380131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131083765361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839397 + ... + 983236.

It is an arithmetic number, because the mean of its divisors is an integer number (4068119088).

Almost surely, 2^131083765360 is an apocalyptic number.

131083765360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131083765360 is an abundant number, since it is smaller than the sum of its proper divisors (194365761680).

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

131083765360 is a wasteful number, since it uses less digits than its factorization.

131083765360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822706 (or 1822700 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 131083765360 in words is "one hundred thirty-one billion, eighty-three million, seven hundred sixty-five thousand, three hundred sixty".