113132431440 has 240 divisors, whose sum is σ = 435228857856. Its totient is φ = 25798348800.

The previous prime is 113132431429. The next prime is 113132431493. The reversal of 113132431440 is 44134231311.

113132431440 is a `hidden beast` number, since 11 + 313 + 24 + 314 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2146200 + ... + 2198280.

Almost surely, 2^113132431440 is an apocalyptic number.

113132431440 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 113132431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217614428928).

113132431440 is an abundant number, since it is smaller than the sum of its proper divisors (322096426416).

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

113132431440 is a wasteful number, since it uses less digits than its factorization.

113132431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52538 (or 52529 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113132431440 its reverse (44134231311), we get a palindrome (157266662751).

The spelling of 113132431440 in words is "one hundred thirteen billion, one hundred thirty-two million, four hundred thirty-one thousand, four hundred forty".