131330321121120 has 576 divisors, whose sum is σ = 459419507140608. Its totient is φ = 31508725248000.

The previous prime is 131330321121029. The next prime is 131330321121143. The reversal of 131330321121120 is 21121123033131.

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

It is a congruent number.

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, 21862877157 + ... + 21862883163.

It is an arithmetic number, because the mean of its divisors is an integer number (797603311008).

Almost surely, 2^{131330321121120} is an apocalyptic number.

131330321121120 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 131330321121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229709753570304).

131330321121120 is an abundant number, since it is smaller than the sum of its proper divisors (328089186019488).

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

131330321121120 is a wasteful number, since it uses less digits than its factorization.

131330321121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131330321121120 its reverse (21121123033131), we get a palindrome (152451444154251).

The spelling of 131330321121120 in words is "one hundred thirty-one trillion, three hundred thirty billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".