1330333233120 has 576 divisors, whose sum is σ = 4687452177408. Its totient is φ = 343429632000.

The previous prime is 1330333233059. The next prime is 1330333233121. The reversal of 1330333233120 is 213323330331.

1330333233120 is a `hidden beast` number, since 1 + 3 + 303 + 3 + 3 + 2 + 331 + 20 = 666.

It is a super-2 number, since 2×1330333233120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330333233121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2709436075 + ... + 2709436565.

It is an arithmetic number, because the mean of its divisors is an integer number (8137937808).

Almost surely, 2^{1330333233120} is an apocalyptic number.

1330333233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330333233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343726088704).

1330333233120 is an abundant number, since it is smaller than the sum of its proper divisors (3357118944288).

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

1330333233120 is a wasteful number, since it uses less digits than its factorization.

1330333233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 1330333233120 its reverse (213323330331), we get a palindrome (1543656563451).

The spelling of 1330333233120 in words is "one trillion, three hundred thirty billion, three hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty".