131303112031120 has 20 divisors (see below), whose sum is σ = 305279735472540. Its totient is φ = 52521244812416.

The previous prime is 131303112031103. The next prime is 131303112031127. The reversal of 131303112031120 is 21130211303131.

It can be written as a sum of positive squares in 2 ways, for example, as 99705177621504 + 31597934409616 = 9985248^2 + 5621204^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 131303112031091 and 131303112031100.

It is not an unprimeable number, because it can be changed into a prime (131303112031127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 820644450115 + ... + 820644450274.

It is an arithmetic number, because the mean of its divisors is an integer number (15263986773627).

Almost surely, 2^{131303112031120} is an apocalyptic number.

131303112031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303112031120 is an abundant number, since it is smaller than the sum of its proper divisors (173976623441420).

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

131303112031120 is a wasteful number, since it uses less digits than its factorization.

131303112031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641288900402 (or 1641288900396 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131303112031120 its reverse (21130211303131), we get a palindrome (152433323334251).

The spelling of 131303112031120 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, thirty-one thousand, one hundred twenty".