31320233103312 has 480 divisors, whose sum is σ = 99264015446400. Its totient is φ = 9445088083968.

The previous prime is 31320233103179. The next prime is 31320233103331. The reversal of 31320233103312 is 21330133202313.

31320233103312 is a `hidden beast` number, since 3 + 1 + 32 + 0 + 2 + 3 + 310 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383367364 + ... + 383449052.

It is an arithmetic number, because the mean of its divisors is an integer number (206800032180).

Almost surely, 2^{31320233103312} 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 31320233103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49632007723200).

31320233103312 is an abundant number, since it is smaller than the sum of its proper divisors (67943782343088).

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

31320233103312 is a wasteful number, since it uses less digits than its factorization.

31320233103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81860 (or 81831 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31320233103312 its reverse (21330133202313), we get a palindrome (52650366305625).

Subtracting from 31320233103312 its reverse (21330133202313), we obtain a palindrome (9990099900999).

The spelling of 31320233103312 in words is "thirty-one trillion, three hundred twenty billion, two hundred thirty-three million, one hundred three thousand, three hundred twelve".