313420003102000 has 320 divisors, whose sum is σ = 766028528179200. Its totient is φ = 124023555686400.

The previous prime is 313420003101941. The next prime is 313420003102061. The reversal of 313420003102000 is 201300024313.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93754112329 + ... + 93754115671.

It is an arithmetic number, because the mean of its divisors is an integer number (2393839150560).

Almost surely, 2^{313420003102000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313420003102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383014264089600).

313420003102000 is an abundant number, since it is smaller than the sum of its proper divisors (452608525077200).

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

313420003102000 is a wasteful number, since it uses less digits than its factorization.

313420003102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 313420003102000 its reverse (201300024313), we get a palindrome (313621303126313).

The spelling of 313420003102000 in words is "three hundred thirteen trillion, four hundred twenty billion, three million, one hundred two thousand".