1330303213120 has 112 divisors (see below), whose sum is σ = 3622436857728. Its totient is φ = 455837921280.

The previous prime is 1330303213117. The next prime is 1330303213121. The reversal of 1330303213120 is 213123030331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1330303213120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330303213091 and 1330303213100.

It is not an unprimeable number, because it can be changed into a prime (1330303213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3687180 + ... + 4031860.

Almost surely, 2^{1330303213120} is an apocalyptic number.

1330303213120 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 1330303213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811218428864).

1330303213120 is an abundant number, since it is smaller than the sum of its proper divisors (2292133644608).

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

1330303213120 is a wasteful number, since it uses less digits than its factorization.

1330303213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346428 (or 346418 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1330303213120 its reverse (213123030331), we get a palindrome (1543426243451).

The spelling of 1330303213120 in words is "one trillion, three hundred thirty billion, three hundred three million, two hundred thirteen thousand, one hundred twenty".