131433100324344 has 384 divisors, whose sum is σ = 450692929290240. Its totient is φ = 33671217908736.

The previous prime is 131433100324333. The next prime is 131433100324441. The reversal of 131433100324344 is 443423001334131.

131433100324344 is a `hidden beast` number, since 1 + 3 + 14 + 3 + 310 + 0 + 324 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131433100324299 and 131433100324308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146704777 + ... + 147597959.

It is an arithmetic number, because the mean of its divisors is an integer number (1173679503360).

Almost surely, 2^{131433100324344} is an apocalyptic number.

131433100324344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131433100324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225346464645120).

131433100324344 is an abundant number, since it is smaller than the sum of its proper divisors (319259828965896).

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

131433100324344 is a wasteful number, since it uses less digits than its factorization.

131433100324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893859 (or 893852 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131433100324344 its reverse (443423001334131), we get a palindrome (574856101658475).

The spelling of 131433100324344 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, one hundred million, three hundred twenty-four thousand, three hundred forty-four".