131303110110120 has 384 divisors, whose sum is σ = 461686543718400. Its totient is φ = 32171470866432.

The previous prime is 131303110110071. The next prime is 131303110110163. The reversal of 131303110110120 is 21011011303131.

131303110110120 is a `hidden beast` number, since 131 + 303 + 1 + 1 + 0 + 110 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131303110110093 and 131303110110102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1522505961 + ... + 1522592199.

It is an arithmetic number, because the mean of its divisors is an integer number (1202308707600).

Almost surely, 2^{131303110110120} is an apocalyptic number.

131303110110120 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 131303110110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230843271859200).

131303110110120 is an abundant number, since it is smaller than the sum of its proper divisors (330383433608280).

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

131303110110120 is a wasteful number, since it uses less digits than its factorization.

131303110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87769 (or 87762 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131303110110120 its reverse (21011011303131), we get a palindrome (152314121413251).

The spelling of 131303110110120 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred ten million, one hundred ten thousand, one hundred twenty".