10000314002000 has 320 divisors, whose sum is σ = 27997422336000. Its totient is φ = 3383989862400.

The previous prime is 10000314001987. The next prime is 10000314002101. The reversal of 10000314002000 is 20041300001.

It is a happy number.

It is a congruent 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, 378084776 + ... + 378111224.

It is an arithmetic number, because the mean of its divisors is an integer number (87491944800).

Almost surely, 2^{10000314002000} is an apocalyptic number.

10000314002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000314002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998711168000).

10000314002000 is an abundant number, since it is smaller than the sum of its proper divisors (17997108334000).

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

10000314002000 is a wasteful number, since it uses less digits than its factorization.

10000314002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26831 (or 26815 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10000314002000 its reverse (20041300001), we get a palindrome (10020355302001).

The spelling of 10000314002000 in words is "ten trillion, three hundred fourteen million, two thousand".