2002000313010 has 128 divisors (see below), whose sum is σ = 5043951005184. Its totient is φ = 507577466880.

The previous prime is 2002000312969. The next prime is 2002000313039. The reversal of 2002000313010 is 103130002002.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 431742412 + ... + 431747048.

It is an arithmetic number, because the mean of its divisors is an integer number (39405867228).

Almost surely, 2^{2002000313010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002000313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521975502592).

2002000313010 is an abundant number, since it is smaller than the sum of its proper divisors (3041950692174).

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

2002000313010 is a wasteful number, since it uses less digits than its factorization.

2002000313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2002000313010 its reverse (103130002002), we get a palindrome (2105130315012).

The spelling of 2002000313010 in words is "two trillion, two billion, three hundred thirteen thousand, ten".