131322120 has 64 divisors (see below), whose sum is σ = 396385920. Its totient is φ = 34804224.

The previous prime is 131322101. The next prime is 131322131. The reversal of 131322120 is 21223131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131322120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16764 + ... + 23316.

It is an arithmetic number, because the mean of its divisors is an integer number (6193530).

Almost surely, 2^131322120 is an apocalyptic number.

131322120 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 131322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198192960).

131322120 is an abundant number, since it is smaller than the sum of its proper divisors (265063800).

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

131322120 is a wasteful number, since it uses less digits than its factorization.

131322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131322120 is about 11459.5863799703. The cubic root of 131322120 is about 508.2912439098.

Adding to 131322120 its reverse (21223131), we get a palindrome (152545251).

The spelling of 131322120 in words is "one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty".