313230222000 has 240 divisors, whose sum is σ = 1094945802912. Its totient is φ = 83456524800.

The previous prime is 313230221999. The next prime is 313230222079. The reversal of 313230222000 is 222032313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×313230222000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22979187 + ... + 22992813.

Almost surely, 2^313230222000 is an apocalyptic number.

313230222000 is a gapful number since it is divisible by the number (30) 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 313230222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547472901456).

313230222000 is an abundant number, since it is smaller than the sum of its proper divisors (781715580912).

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

313230222000 is a wasteful number, since it uses less digits than its factorization.

313230222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14933 (or 14914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 313230222000 its reverse (222032313), we get a palindrome (313452254313).

The spelling of 313230222000 in words is "three hundred thirteen billion, two hundred thirty million, two hundred twenty-two thousand".