1330320004002 has 192 divisors, whose sum is σ = 3399710745600. Its totient is φ = 371908268160.

The previous prime is 1330320004001. The next prime is 1330320004019. The reversal of 1330320004002 is 2004000230331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1330320004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14193649 + ... + 14287067.

It is an arithmetic number, because the mean of its divisors is an integer number (17706826800).

Almost surely, 2^{1330320004002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330320004002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699855372800).

1330320004002 is an abundant number, since it is smaller than the sum of its proper divisors (2069390741598).

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

1330320004002 is a wasteful number, since it uses less digits than its factorization.

1330320004002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93573 (or 93570 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1330320004002 its reverse (2004000230331), we get a palindrome (3334320234333).

The spelling of 1330320004002 in words is "one trillion, three hundred thirty billion, three hundred twenty million, four thousand, two".