10002313002 has 64 divisors (see below), whose sum is σ = 22997882880. Its totient is φ = 2870472000.

The previous prime is 10002312989. The next prime is 10002313039. The reversal of 10002313002 is 20031320001.

It is a happy number.

10002313002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10002313002³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 120699 + ... + 185937.

It is an arithmetic number, because the mean of its divisors is an integer number (359341920).

Almost surely, 2^10002313002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498941440).

10002313002 is an abundant number, since it is smaller than the sum of its proper divisors (12995569878).

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

10002313002 is a wasteful number, since it uses less digits than its factorization.

10002313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65379.

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

Adding to 10002313002 its reverse (20031320001), we get a palindrome (30033633003).

The spelling of 10002313002 in words is "ten billion, two million, three hundred thirteen thousand, two".