131404112310120 has 256 divisors, whose sum is σ = 425506343270400. Its totient is φ = 32271757378560.

The previous prime is 131404112310077. The next prime is 131404112310131. The reversal of 131404112310120 is 21013211404131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3461354259 + ... + 3461392221.

It is an arithmetic number, because the mean of its divisors is an integer number (1662134153400).

Almost surely, 2^{131404112310120} is an apocalyptic number.

131404112310120 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 131404112310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212753171635200).

131404112310120 is an abundant number, since it is smaller than the sum of its proper divisors (294102230960280).

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

131404112310120 is a wasteful number, since it uses less digits than its factorization.

131404112310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43000 (or 42996 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131404112310120 its reverse (21013211404131), we get a palindrome (152417323714251).

The spelling of 131404112310120 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred twelve million, three hundred ten thousand, one hundred twenty".