331133314244112 has 240 divisors, whose sum is σ = 974545891737600. Its totient is φ = 108836796410496.

The previous prime is 331133314244059. The next prime is 331133314244141. The reversal of 331133314244112 is 211442413331133.

331133314244112 is a `hidden beast` number, since 3 + 3 + 1 + 133 + 31 + 42 + 441 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78428389 + ... + 82542587.

It is an arithmetic number, because the mean of its divisors is an integer number (4060607882240).

Almost surely, 2^{331133314244112} 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 331133314244112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487272945868800).

331133314244112 is an abundant number, since it is smaller than the sum of its proper divisors (643412577493488).

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

331133314244112 is a wasteful number, since it uses less digits than its factorization.

331133314244112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114512 (or 4114494 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 331133314244112 its reverse (211442413331133), we get a palindrome (542575727575245).

The spelling of 331133314244112 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, three hundred fourteen million, two hundred forty-four thousand, one hundred twelve".