231312213132 has 384 divisors, whose sum is σ = 751770851328. Its totient is φ = 53415936000.

The previous prime is 231312213131. The next prime is 231312213149.

231312213132 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (231312213131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44886268 + ... + 44891420.

It is an arithmetic number, because the mean of its divisors is an integer number (1957736592).

Almost surely, 2^231312213132 is an apocalyptic number.

231312213132 is a gapful number since it is divisible by the number (22) 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 231312213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375885425664).

231312213132 is an abundant number, since it is smaller than the sum of its proper divisors (520458638196).

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

231312213132 is a wasteful number, since it uses less digits than its factorization.

231312213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5327 counting only the distinct ones).

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

It can be divided in two parts, 231312 and 213132, that added together give a palindrome (444444).

The spelling of 231312213132 in words is "two hundred thirty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred thirty-two".