231133221312 has 112 divisors (see below), whose sum is σ = 701828090880. Its totient is φ = 65761661952.

The previous prime is 231133221307. The next prime is 231133221317. The reversal of 231133221312 is 213122331132.

231133221312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231133221307) and next prime (231133221317).

It is a tau number, because it is divible by the number of its divisors (112).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231133221317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38563 + ... + 680994.

It is an arithmetic number, because the mean of its divisors is an integer number (6266322240).

Almost surely, 2^231133221312 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 231133221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350914045440).

231133221312 is an abundant number, since it is smaller than the sum of its proper divisors (470694869568).

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

231133221312 is a wasteful number, since it uses less digits than its factorization.

231133221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719818 (or 719808 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 231133221312 its reverse (213122331132), we get a palindrome (444255552444).

The spelling of 231133221312 in words is "two hundred thirty-one billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twelve".