131332321120 has 384 divisors, whose sum is σ = 420467604480. Its totient is φ = 37434286080.

The previous prime is 131332321061. The next prime is 131332321129. The reversal of 131332321120 is 21123233131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131332321091 and 131332321100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332321129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17453679 + ... + 17461201.

It is an arithmetic number, because the mean of its divisors is an integer number (1094967720).

Almost surely, 2^131332321120 is an apocalyptic number.

131332321120 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 131332321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210233802240).

131332321120 is an abundant number, since it is smaller than the sum of its proper divisors (289135283360).

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

131332321120 is a wasteful number, since it uses less digits than its factorization.

131332321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131332321120 its reverse (21123233131), we get a palindrome (152455554251).

The spelling of 131332321120 in words is "one hundred thirty-one billion, three hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty".