2013004330002 has 64 divisors (see below), whose sum is σ = 4547442643200. Its totient is φ = 659932721280.

The previous prime is 2013004329991. The next prime is 2013004330003. The reversal of 2013004330002 is 2000334003102.

2013004330002 is a `hidden beast` number, since 20 + 1 + 300 + 43 + 300 + 0 + 2 = 666.

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 (2013004330003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926248 + ... + 2209964.

It is an arithmetic number, because the mean of its divisors is an integer number (71053791300).

Almost surely, 2^{2013004330002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013004330002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273721321600).

2013004330002 is an abundant number, since it is smaller than the sum of its proper divisors (2534438313198).

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

2013004330002 is a wasteful number, since it uses less digits than its factorization.

2013004330002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284208 (or 1284202 counting only the distinct ones).

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

Adding to 2013004330002 its reverse (2000334003102), we get a palindrome (4013338333104).

The spelling of 2013004330002 in words is "two trillion, thirteen billion, four million, three hundred thirty thousand, two".