131102311122 has 48 divisors (see below), whose sum is σ = 307086524160. Its totient is φ = 40281787296.

The previous prime is 131102311117. The next prime is 131102311127. The reversal of 131102311122 is 221113201131.

131102311122 is a `hidden beast` number, since 1 + 311 + 0 + 231 + 1 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (131102311117) and next prime (131102311127).

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 = 131102311095 and 131102311104.

It is not an unprimeable number, because it can be changed into a prime (131102311127) by changing a digit.

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, 5167618 + ... + 5192925.

It is an arithmetic number, because the mean of its divisors is an integer number (6397635920).

Almost surely, 2^131102311122 is an apocalyptic number.

131102311122 is an abundant number, since it is smaller than the sum of its proper divisors (175984213038).

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

131102311122 is a wasteful number, since it uses less digits than its factorization.

131102311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10360607 (or 10360604 counting only the distinct ones).

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

Adding to 131102311122 its reverse (221113201131), we get a palindrome (352215512253).

It can be divided in two parts, 13110 and 2311122, that added together give a palindrome (2324232).

The spelling of 131102311122 in words is "one hundred thirty-one billion, one hundred two million, three hundred eleven thousand, one hundred twenty-two".