331333413212304 has 560 divisors, whose sum is σ = 1019267291384832. Its totient is φ = 104082766774272.

The previous prime is 331333413212303. The next prime is 331333413212453. The reversal of 331333413212304 is 403212314333133.

331333413212304 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 3 + 3 + 413 + 2 + 1 + 230 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (331333413212303) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 5802963084 + ... + 5803020180.

Almost surely, 2^{331333413212304} 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 331333413212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509633645692416).

331333413212304 is an abundant number, since it is smaller than the sum of its proper divisors (687933878172528).

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

331333413212304 is a wasteful number, since it uses less digits than its factorization.

331333413212304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57466 (or 57445 counting only the distinct ones).

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

Adding to 331333413212304 its reverse (403212314333133), we get a palindrome (734545727545437).

The spelling of 331333413212304 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, four hundred thirteen million, two hundred twelve thousand, three hundred four".