131432324100 has 288 divisors, whose sum is σ = 474521628672. Its totient is φ = 27287040000.

The previous prime is 131432324057. The next prime is 131432324113. The reversal of 131432324100 is 1423234131.

It is a happy 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, 43218580 + ... + 43221620.

It is an arithmetic number, because the mean of its divisors is an integer number (1647644544).

Almost surely, 2^131432324100 is an apocalyptic number.

131432324100 is a gapful number since it is divisible by the number (10) 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 131432324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237260814336).

131432324100 is an abundant number, since it is smaller than the sum of its proper divisors (343089304572).

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

131432324100 is a wasteful number, since it uses less digits than its factorization.

131432324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131432324100 its reverse (1423234131), we get a palindrome (132855558231).

The spelling of 131432324100 in words is "one hundred thirty-one billion, four hundred thirty-two million, three hundred twenty-four thousand, one hundred".