131122110130100 has 18 divisors (see below), whose sum is σ = 284534978982534. Its totient is φ = 52448844052000.

The previous prime is 131122110130097. The next prime is 131122110130171. The reversal of 131122110130100 is 1031011221131.

It can be written as a sum of positive squares in 3 ways, for example, as 1599410443684 + 129522699686416 = 1264678^2 + 11380804^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 655610550551 + ... + 655610550750.

It is an arithmetic number, because the mean of its divisors is an integer number (15807498832363).

Almost surely, 2^{131122110130100} is an apocalyptic number.

131122110130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122110130100 is an abundant number, since it is smaller than the sum of its proper divisors (153412868852434).

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

131122110130100 is a wasteful number, since it uses less digits than its factorization.

131122110130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311221101315 (or 1311221101308 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131122110130100 its reverse (1031011221131), we get a palindrome (132153121351231).

The spelling of 131122110130100 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred thirty thousand, one hundred".