131101123122 has 48 divisors (see below), whose sum is σ = 287924457600. Its totient is φ = 43107876000.

The previous prime is 131101123093. The next prime is 131101123169. The reversal of 131101123122 is 221321101131.

131101123122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 131101123095 and 131101123104.

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 23 ways as a sum of consecutive naturals, for example, 359629 + ... + 625727.

It is an arithmetic number, because the mean of its divisors is an integer number (5998426200).

Almost surely, 2^131101123122 is an apocalyptic number.

131101123122 is an abundant number, since it is smaller than the sum of its proper divisors (156823334478).

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

131101123122 is a wasteful number, since it uses less digits than its factorization.

131101123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266479 (or 266476 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131101123122 its reverse (221321101131), we get a palindrome (352422224253).

The spelling of 131101123122 in words is "one hundred thirty-one billion, one hundred one million, one hundred twenty-three thousand, one hundred twenty-two".