131021689351680 has 240 divisors, whose sum is σ = 453933923311440. Its totient is φ = 34926107295744.

The previous prime is 131021689351639. The next prime is 131021689351697. The reversal of 131021689351680 is 86153986120131.

131021689351680 is a `hidden beast` number, since 1 + 3 + 10 + 21 + 6 + 8 + 93 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60897159 + ... + 63011961.

It is an arithmetic number, because the mean of its divisors is an integer number (1891391347131).

Almost surely, 2^{131021689351680} is an apocalyptic number.

131021689351680 is a gapful number since it is divisible by the number (10) 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 131021689351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226966961655720).

131021689351680 is an abundant number, since it is smaller than the sum of its proper divisors (322912233959760).

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

131021689351680 is a wasteful number, since it uses less digits than its factorization.

131021689351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117521 (or 2117502 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 131021689351680 in words is "one hundred thirty-one trillion, twenty-one billion, six hundred eighty-nine million, three hundred fifty-one thousand, six hundred eighty".