331113006 has 48 divisors (see below), whose sum is σ = 827455200. Its totient is φ = 93731904.

The previous prime is 331113001. The next prime is 331113031. The reversal of 331113006 is 600311133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331113001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680 + ... + 25788.

It is an arithmetic number, because the mean of its divisors is an integer number (17238650).

Almost surely, 2^331113006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331113006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413727600).

331113006 is an abundant number, since it is smaller than the sum of its proper divisors (496342194).

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

331113006 is a wasteful number, since it uses less digits than its factorization.

331113006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24233 (or 24230 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 331113006 is about 18196.5108193851. The cubic root of 331113006 is about 691.8183544863.

Adding to 331113006 its reverse (600311133), we get a palindrome (931424139).

The spelling of 331113006 in words is "three hundred thirty-one million, one hundred thirteen thousand, six".