331013122424244 has 240 divisors, whose sum is σ = 968279143708800. Its totient is φ = 97904900185344.

The previous prime is 331013122424219. The next prime is 331013122424269. The reversal of 331013122424244 is 442424221310133.

331013122424244 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 1 + 3 + 1 + 224 + 2 + 424 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (331013122424219) and next prime (331013122424269).

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

It is a junction number, because it is equal to n+sod(n) for n = 331013122424199 and 331013122424208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21758577 + ... + 33696615.

It is an arithmetic number, because the mean of its divisors is an integer number (4034496432120).

Almost surely, 2^{331013122424244} 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 331013122424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484139571854400).

331013122424244 is an abundant number, since it is smaller than the sum of its proper divisors (637266021284556).

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

331013122424244 is a wasteful number, since it uses less digits than its factorization.

331013122424244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938324 (or 11938313 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 331013122424244 its reverse (442424221310133), we get a palindrome (773437343734377).

The spelling of 331013122424244 in words is "three hundred thirty-one trillion, thirteen billion, one hundred twenty-two million, four hundred twenty-four thousand, two hundred forty-four".