131120350205124 has 384 divisors, whose sum is σ = 378517708800000. Its totient is φ = 34476105074688.

The previous prime is 131120350205069. The next prime is 131120350205147. The reversal of 131120350205124 is 421502053021131.

It is a happy number.

It is a super-2 number, since 2×131120350205124² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131120350205091 and 131120350205100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12906811557 + ... + 12906821715.

It is an arithmetic number, because the mean of its divisors is an integer number (985723200000).

Almost surely, 2^{131120350205124} is an apocalyptic number.

131120350205124 is a gapful number since it is divisible by the number (14) 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 131120350205124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189258854400000).

131120350205124 is an abundant number, since it is smaller than the sum of its proper divisors (247397358594876).

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

131120350205124 is a wasteful number, since it uses less digits than its factorization.

131120350205124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 131120350205124 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred fifty million, two hundred five thousand, one hundred twenty-four".