3001330003120 has 20 divisors (see below), whose sum is σ = 6978092257440. Its totient is φ = 1200532001216.

The previous prime is 3001330003103. The next prime is 3001330003129. The reversal of 3001330003120 is 213000331003.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×3001330003120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3001330003094 and 3001330003103.

It is not an unprimeable number, because it can be changed into a prime (3001330003129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18758312440 + ... + 18758312599.

It is an arithmetic number, because the mean of its divisors is an integer number (348904612872).

Almost surely, 2^{3001330003120} is an apocalyptic number.

It is an amenable number.

3001330003120 is an abundant number, since it is smaller than the sum of its proper divisors (3976762254320).

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

3001330003120 is a wasteful number, since it uses less digits than its factorization.

3001330003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37516625052 (or 37516625046 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3001330003120 its reverse (213000331003), we get a palindrome (3214330334123).

The spelling of 3001330003120 in words is "three trillion, one billion, three hundred thirty million, three thousand, one hundred twenty".