131120059392 has 352 divisors, whose sum is σ = 451348761600. Its totient is φ = 36824702976.

The previous prime is 131120059391. The next prime is 131120059403. The reversal of 131120059392 is 293950021131.

131120059392 is a `hidden beast` number, since 1 + 3 + 11 + 200 + 59 + 392 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120059391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11412883 + ... + 11424365.

It is an arithmetic number, because the mean of its divisors is an integer number (1282240800).

Almost surely, 2^131120059392 is an apocalyptic number.

131120059392 is a gapful number since it is divisible by the number (12) 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 131120059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225674380800).

131120059392 is an abundant number, since it is smaller than the sum of its proper divisors (320228702208).

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

131120059392 is a wasteful number, since it uses less digits than its factorization.

131120059392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11578 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 131120059392 in words is "one hundred thirty-one billion, one hundred twenty million, fifty-nine thousand, three hundred ninety-two".