231313002144 has 384 divisors, whose sum is σ = 716216256000. Its totient is φ = 64015564800.

The previous prime is 231313002143. The next prime is 231313002191. The reversal of 231313002144 is 441200313132.

It is a happy number.

231313002144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (231313002143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 900050464 + ... + 900050720.

It is an arithmetic number, because the mean of its divisors is an integer number (1865146500).

Almost surely, 2^231313002144 is an apocalyptic number.

231313002144 is a gapful number since it is divisible by the number (24) 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 231313002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358108128000).

231313002144 is an abundant number, since it is smaller than the sum of its proper divisors (484903253856).

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

231313002144 is a wasteful number, since it uses less digits than its factorization.

231313002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

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

Adding to 231313002144 its reverse (441200313132), we get a palindrome (672513315276).

The spelling of 231313002144 in words is "two hundred thirty-one billion, three hundred thirteen million, two thousand, one hundred forty-four".