131308864128 has 384 divisors, whose sum is σ = 425480939520. Its totient is φ = 40068919296.

The previous prime is 131308864111. The next prime is 131308864129. The reversal of 131308864128 is 821468803131.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (131308864129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51351426 + ... + 51353982.

It is an arithmetic number, because the mean of its divisors is an integer number (1108023280).

Almost surely, 2^131308864128 is an apocalyptic number.

131308864128 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 131308864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212740469760).

131308864128 is an abundant number, since it is smaller than the sum of its proper divisors (294172075392).

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

131308864128 is a wasteful number, since it uses less digits than its factorization.

131308864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 131308864128 in words is "one hundred thirty-one billion, three hundred eight million, eight hundred sixty-four thousand, one hundred twenty-eight".