313420340000 has 120 divisors (see below), whose sum is σ = 791902406988. Its totient is φ = 121979520000.

The previous prime is 313420339961. The next prime is 313420340033. The reversal of 313420340000 is 43024313.

It can be written as a sum of positive squares in 10 ways, for example, as 28465088656 + 284955251344 = 168716^2 + 533812^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 528230 + ... + 951770.

Almost surely, 2^313420340000 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 313420340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395951203494).

313420340000 is an abundant number, since it is smaller than the sum of its proper divisors (478482066988).

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

313420340000 is an equidigital number, since it uses as much as digits as its factorization.

313420340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423608 (or 423585 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 313420340000 its reverse (43024313), we get a palindrome (313463364313).

The spelling of 313420340000 in words is "three hundred thirteen billion, four hundred twenty million, three hundred forty thousand".