131009884488 has 256 divisors, whose sum is σ = 425033280000. Its totient is φ = 37374898176.

The previous prime is 131009884487. The next prime is 131009884541. The reversal of 131009884488 is 884488900131.

131009884488 is a `hidden beast` number, since 1 + 3 + 100 + 98 + 8 + 448 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (131009884487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90164370 + ... + 90165822.

It is an arithmetic number, because the mean of its divisors is an integer number (1660286250).

Almost surely, 2^131009884488 is an apocalyptic number.

131009884488 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 131009884488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212516640000).

131009884488 is an abundant number, since it is smaller than the sum of its proper divisors (294023395512).

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

131009884488 is a wasteful number, since it uses less digits than its factorization.

131009884488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 131009884488 in words is "one hundred thirty-one billion, nine million, eight hundred eighty-four thousand, four hundred eighty-eight".