131116068720 has 960 divisors, whose sum is σ = 569987518464. Its totient is φ = 26252328960.

The previous prime is 131116068719. The next prime is 131116068739. The reversal of 131116068720 is 27860611131.

131116068720 is a `hidden beast` number, since 1 + 31 + 11 + 606 + 8 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251662060 + ... + 251662580.

Almost surely, 2^131116068720 is an apocalyptic number.

131116068720 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 131116068720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284993759232).

131116068720 is an abundant number, since it is smaller than the sum of its proper divisors (438871449744).

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

131116068720 is a wasteful number, since it uses less digits than its factorization.

131116068720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 131116068720 its reverse (27860611131), we get a palindrome (158976679851).

The spelling of 131116068720 in words is "one hundred thirty-one billion, one hundred sixteen million, sixty-eight thousand, seven hundred twenty".