1330330003002 has 288 divisors, whose sum is σ = 4045636917504. Its totient is φ = 310338604800.

The previous prime is 1330330002977. The next prime is 1330330003019. The reversal of 1330330003002 is 2003000330331.

1330330003002 is a `hidden beast` number, since 1 + 3 + 30 + 330 + 0 + 0 + 300 + 2 = 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 143 ways as a sum of consecutive naturals, for example, 4524127 + ... + 4809197.

It is an arithmetic number, because the mean of its divisors is an integer number (14047350408).

Almost surely, 2^{1330330003002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330330003002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022818458752).

1330330003002 is an abundant number, since it is smaller than the sum of its proper divisors (2715306914502).

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

1330330003002 is a wasteful number, since it uses less digits than its factorization.

1330330003002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285154 (or 285144 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 1330330003002 its reverse (2003000330331), we get a palindrome (3333330333333).

The spelling of 1330330003002 in words is "one trillion, three hundred thirty billion, three hundred thirty million, three thousand, two".