313223122200000 has 336 divisors, whose sum is σ = 1043761466740608. Its totient is φ = 82888540800000.

The previous prime is 313223122199963. The next prime is 313223122200019. The reversal of 313223122200000 is 2221322313.

It is a happy number.

It is a super-2 number, since 2×313223122200000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313223122200000.

It is a congruent number.

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, 76607487 + ... + 80592513.

It is an arithmetic number, because the mean of its divisors is an integer number (3106432936728).

Almost surely, 2^{313223122200000} is an apocalyptic number.

313223122200000 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 313223122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521880733370304).

313223122200000 is an abundant number, since it is smaller than the sum of its proper divisors (730538344540608).

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

313223122200000 is an equidigital number, since it uses as much as digits as its factorization.

313223122200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985198 (or 3985168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 313223122200000 its reverse (2221322313), we get a palindrome (313225343522313).

The spelling of 313223122200000 in words is "three hundred thirteen trillion, two hundred twenty-three billion, one hundred twenty-two million, two hundred thousand".