331344412113132 has 288 divisors, whose sum is σ = 954583003902528. Its totient is φ = 96011827200000.

The previous prime is 331344412113107. The next prime is 331344412113139. The reversal of 331344412113132 is 231311214443133.

331344412113132 is a `hidden beast` number, since 3 + 3 + 1 + 34 + 441 + 21 + 131 + 32 = 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 not an unprimeable number, because it can be changed into a prime (331344412113139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1073265832 + ... + 1073574512.

It is an arithmetic number, because the mean of its divisors is an integer number (3314524319106).

Almost surely, 2^{331344412113132} 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 331344412113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477291501951264).

331344412113132 is an abundant number, since it is smaller than the sum of its proper divisors (623238591789396).

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

331344412113132 is a wasteful number, since it uses less digits than its factorization.

331344412113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310001 (or 309996 counting only the distinct ones).

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

Adding to 331344412113132 its reverse (231311214443133), we get a palindrome (562655626556265).

The spelling of 331344412113132 in words is "three hundred thirty-one trillion, three hundred forty-four billion, four hundred twelve million, one hundred thirteen thousand, one hundred thirty-two".