331113330 has 96 divisors (see below), whose sum is σ = 894763584. Its totient is φ = 84889728.

The previous prime is 331113281. The next prime is 331113347. The reversal of 331113330 is 33311133.

331113330 is a `hidden beast` number, since 331 + 1 + 1 + 3 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258652 + ... + 259928.

It is an arithmetic number, because the mean of its divisors is an integer number (9320454).

Almost surely, 2^331113330 is an apocalyptic number.

331113330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447381792).

331113330 is an abundant number, since it is smaller than the sum of its proper divisors (563650254).

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

331113330 is a wasteful number, since it uses less digits than its factorization.

331113330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 331113330 is about 18196.5197221886. The cubic root of 331113330 is about 691.8185801384.

Adding to 331113330 its reverse (33311133), we get a palindrome (364424463).

It can be divided in two parts, 3311 and 13330, that added together give a square (16641 = 129²).

The spelling of 331113330 in words is "three hundred thirty-one million, one hundred thirteen thousand, three hundred thirty".