1330113330 has 144 divisors (see below), whose sum is σ = 4332555864. Its totient is φ = 280627200.

The previous prime is 1330113319. The next prime is 1330113377. The reversal of 1330113330 is 333110331.

1330113330 is a `hidden beast` number, since 1 + 330 + 1 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1130371641 + 199741689 = 33621^2 + 14133^2 .

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 71 ways as a sum of consecutive naturals, for example, 45730 + ... + 68930.

Almost surely, 2^1330113330 is an apocalyptic number.

1330113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166277932).

1330113330 is an abundant number, since it is smaller than the sum of its proper divisors (3002442534).

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

1330113330 is a wasteful number, since it uses less digits than its factorization.

1330113330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23241 (or 23231 counting only the distinct ones).

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

The square root of 1330113330 is about 36470.7188028972. The cubic root of 1330113330 is about 1099.7556840321.

Adding to 1330113330 its reverse (333110331), we get a palindrome (1663223661).

Subtracting from 1330113330 its reverse (333110331), we obtain a cube (997002999 = 999³).

The spelling of 1330113330 in words is "one billion, three hundred thirty million, one hundred thirteen thousand, three hundred thirty".