131310113122122 has 128 divisors (see below), whose sum is σ = 290199485915136. Its totient is φ = 39278827200000.

The previous prime is 131310113122109. The next prime is 131310113122129. The reversal of 131310113122122 is 221221311013131.

It is a junction number, because it is equal to n+sod(n) for n = 131310113122092 and 131310113122101.

It is not an unprimeable number, because it can be changed into a prime (131310113122129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15953113747 + ... + 15953121977.

It is an arithmetic number, because the mean of its divisors is an integer number (2267183483712).

Almost surely, 2^{131310113122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131310113122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145099742957568).

131310113122122 is an abundant number, since it is smaller than the sum of its proper divisors (158889372793014).

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

131310113122122 is a wasteful number, since it uses less digits than its factorization.

131310113122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15236.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131310113122122 its reverse (221221311013131), we get a palindrome (352531424135253).

The spelling of 131310113122122 in words is "one hundred thirty-one trillion, three hundred ten billion, one hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-two".