131322313122 has 256 divisors, whose sum is σ = 365820973056. Its totient is φ = 30326400000.

The previous prime is 131322313117. The next prime is 131322313139. The reversal of 131322313122 is 221313223131.

It is a super-2 number, since 2×131322313122² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131322313092 and 131322313101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22441497 + ... + 22447347.

It is an arithmetic number, because the mean of its divisors is an integer number (1428988176).

Almost surely, 2^131322313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131322313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182910486528).

131322313122 is an abundant number, since it is smaller than the sum of its proper divisors (234498659934).

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

131322313122 is a wasteful number, since it uses less digits than its factorization.

131322313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025.

The product of its digits is 1296, while the sum is 24.

Adding to 131322313122 its reverse (221313223131), we get a palindrome (352635536253).

It can be divided in two parts, 131322 and 313122, that added together give a palindrome (444444).

The spelling of 131322313122 in words is "one hundred thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred twenty-two".