312321232030332 has 384 divisors, whose sum is σ = 855444657070080. Its totient is φ = 86856955776000.

The previous prime is 312321232030261. The next prime is 312321232030333. The reversal of 312321232030332 is 233030232123213.

It is a self number, because there is not a number n which added to its sum of digits gives 312321232030332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312321232030333) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167285072463 + ... + 167285074329.

It is an arithmetic number, because the mean of its divisors is an integer number (2227720461120).

Almost surely, 2^{312321232030332} 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 312321232030332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427722328535040).

312321232030332 is an abundant number, since it is smaller than the sum of its proper divisors (543123425039748).

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

312321232030332 is a wasteful number, since it uses less digits than its factorization.

312321232030332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 312321232030332 its reverse (233030232123213), we get a palindrome (545351464153545).

The spelling of 312321232030332 in words is "three hundred twelve trillion, three hundred twenty-one billion, two hundred thirty-two million, thirty thousand, three hundred thirty-two".