331044312133332 has 108 divisors (see below), whose sum is σ = 989385752860596. Its totient is φ = 93033530311680.

The previous prime is 331044312133331. The next prime is 331044312133349. The reversal of 331044312133332 is 233331213440133.

331044312133332 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 4 + 4 + 312 + 1 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186980080972356 + 144064231160976 = 13674066^2 + 12002676^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331044312133331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1538145213 + ... + 1538360420.

Almost surely, 2^{331044312133332} is an apocalyptic number.

It is an amenable number.

331044312133332 is an abundant number, since it is smaller than the sum of its proper divisors (658341440727264).

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

331044312133332 is a wasteful number, since it uses less digits than its factorization.

331044312133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076505718 (or 3076505706 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 331044312133332 its reverse (233331213440133), we get a palindrome (564375525573465).

The spelling of 331044312133332 in words is "three hundred thirty-one trillion, forty-four billion, three hundred twelve million, one hundred thirty-three thousand, three hundred thirty-two".