313452233030200 has 384 divisors, whose sum is σ = 807046520716800. Its totient is φ = 112272526080000.

The previous prime is 313452233030191. The next prime is 313452233030249. The reversal of 313452233030200 is 2030332254313.

It is a super-2 number, since 2×313452233030200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67510709079 + ... + 67510713721.

It is an arithmetic number, because the mean of its divisors is an integer number (2101683647700).

Almost surely, 2^{313452233030200} 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 313452233030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403523260358400).

313452233030200 is an abundant number, since it is smaller than the sum of its proper divisors (493594287686600).

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

313452233030200 is a wasteful number, since it uses less digits than its factorization.

313452233030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 313452233030200 its reverse (2030332254313), we get a palindrome (315482565284513).

The spelling of 313452233030200 in words is "three hundred thirteen trillion, four hundred fifty-two billion, two hundred thirty-three million, thirty thousand, two hundred".