131122221120 has 336 divisors, whose sum is σ = 508448828160. Its totient is φ = 31786951680.

The previous prime is 131122221103. The next prime is 131122221173. The reversal of 131122221120 is 21122221131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131122221093 and 131122221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982729 + ... + 1108151.

It is an arithmetic number, because the mean of its divisors is an integer number (1513240560).

Almost surely, 2^131122221120 is an apocalyptic number.

131122221120 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 131122221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254224414080).

131122221120 is an abundant number, since it is smaller than the sum of its proper divisors (377326607040).

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

131122221120 is a wasteful number, since it uses less digits than its factorization.

131122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125471 (or 125444 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131122221120 its reverse (21122221131), we get a palindrome (152244442251).

The spelling of 131122221120 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".