131883334128 has 480 divisors, whose sum is σ = 506317593600. Its totient is φ = 31012429824.

The previous prime is 131883334117. The next prime is 131883334129. The reversal of 131883334128 is 821433388131.

131883334128 is a `hidden beast` number, since 13 + 188 + 3 + 334 + 128 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131883334129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4217013 + ... + 4248171.

It is an arithmetic number, because the mean of its divisors is an integer number (1054828320).

Almost surely, 2^131883334128 is an apocalyptic number.

131883334128 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 131883334128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253158796800).

131883334128 is an abundant number, since it is smaller than the sum of its proper divisors (374434259472).

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

131883334128 is a wasteful number, since it uses less digits than its factorization.

131883334128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31229 (or 31220 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 131883334128 in words is "one hundred thirty-one billion, eight hundred eighty-three million, three hundred thirty-four thousand, one hundred twenty-eight".