231231312 has 120 divisors (see below), whose sum is σ = 702429000. Its totient is φ = 70585344.

The previous prime is 231231293. The next prime is 231231323. The reversal of 231231312 is 213132132.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 231161616 = 264^2 + 15204^2 .

It is a super-3 number, since 3×231231312³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278514 + ... + 279342.

It is an arithmetic number, because the mean of its divisors is an integer number (5853575).

Almost surely, 2^231231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351214500).

231231312 is an abundant number, since it is smaller than the sum of its proper divisors (471197688).

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

231231312 is a wasteful number, since it uses less digits than its factorization.

231231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 231231312 is about 15206.2918556761. The cubic root of 231231312 is about 613.7839783026.

Adding to 231231312 its reverse (213132132), we get a palindrome (444363444).

It can be divided in two parts, 2312313 and 12, that added together give a triangular number (2312325 = T₂₁₅₀).

The spelling of 231231312 in words is "two hundred thirty-one million, two hundred thirty-one thousand, three hundred twelve".