313204213000 has 128 divisors (see below), whose sum is σ = 839594995200. Its totient is φ = 107128224000.

The previous prime is 313204212977. The next prime is 313204213019. The reversal of 313204213000 is 312402313.

It is a super-3 number, since 3×313204213000³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2893861 + ... + 3000139.

It is an arithmetic number, because the mean of its divisors is an integer number (6559335900).

Almost surely, 2^313204213000 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 313204213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419797497600).

313204213000 is an abundant number, since it is smaller than the sum of its proper divisors (526390782200).

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

313204213000 is a wasteful number, since it uses less digits than its factorization.

313204213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106728 (or 106714 counting only the distinct ones).

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

Adding to 313204213000 its reverse (312402313), we get a palindrome (313516615313).

The spelling of 313204213000 in words is "three hundred thirteen billion, two hundred four million, two hundred thirteen thousand".