231312131440 has 80 divisors (see below), whose sum is σ = 580089496896. Its totient is φ = 85271961600.

The previous prime is 231312131389. The next prime is 231312131497. The reversal of 231312131440 is 44131213132.

231312131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 480000 + ... + 832480.

Almost surely, 2^231312131440 is an apocalyptic number.

231312131440 is a gapful number since it is divisible by the number (20) 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 231312131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290044748448).

231312131440 is an abundant number, since it is smaller than the sum of its proper divisors (348777365456).

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

231312131440 is a wasteful number, since it uses less digits than its factorization.

231312131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353138 (or 353132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 231312131440 its reverse (44131213132), we get a palindrome (275443344572).

The spelling of 231312131440 in words is "two hundred thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, four hundred forty".