331131111222312 has 320 divisors, whose sum is σ = 983459782800000. Its totient is φ = 103733223727104.

The previous prime is 331131111222299. The next prime is 331131111222343. The reversal of 331131111222312 is 213222111131133.

331131111222312 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 311 + 1 + 12 + 22 + 312 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32277128239 + ... + 32277138497.

It is an arithmetic number, because the mean of its divisors is an integer number (3073311821250).

Almost surely, 2^{331131111222312} 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 331131111222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491729891400000).

331131111222312 is an abundant number, since it is smaller than the sum of its proper divisors (652328671577688).

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

331131111222312 is a wasteful number, since it uses less digits than its factorization.

331131111222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270 (or 14257 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 331131111222312 its reverse (213222111131133), we get a palindrome (544353222353445).

The spelling of 331131111222312 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred eleven million, two hundred twenty-two thousand, three hundred twelve".