131121320 has 64 divisors (see below), whose sum is σ = 332259840. Its totient is φ = 46137600.

The previous prime is 131121307. The next prime is 131121379. The reversal of 131121320 is 23121131.

131121320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131121295 and 131121304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8834 + ... + 18446.

It is an arithmetic number, because the mean of its divisors is an integer number (5191560).

Almost surely, 2^131121320 is an apocalyptic number.

131121320 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 131121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166129920).

131121320 is an abundant number, since it is smaller than the sum of its proper divisors (201138520).

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

131121320 is a wasteful number, since it uses less digits than its factorization.

131121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131121320 is about 11450.8218045693. The cubic root of 131121320 is about 508.0320417097.

Adding to 131121320 its reverse (23121131), we get a palindrome (154242451).

The spelling of 131121320 in words is "one hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty".