31232330133312 has 224 divisors, whose sum is σ = 103351147038720. Its totient is φ = 8086701496320.

The previous prime is 31232330133293. The next prime is 31232330133353. The reversal of 31232330133312 is 21333103323213.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 31232330133312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354389 + ... + 8018667.

It is an arithmetic number, because the mean of its divisors is an integer number (461389049280).

Almost surely, 2^{31232330133312} is an apocalyptic number.

31232330133312 is a gapful number since it is divisible by the number (32) 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 31232330133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51675573519360).

31232330133312 is an abundant number, since it is smaller than the sum of its proper divisors (72118816905408).

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

31232330133312 is a wasteful number, since it uses less digits than its factorization.

31232330133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664629 (or 6664619 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 31232330133312 its reverse (21333103323213), we get a palindrome (52565433456525).

The spelling of 31232330133312 in words is "thirty-one trillion, two hundred thirty-two billion, three hundred thirty million, one hundred thirty-three thousand, three hundred twelve".