313121212210200 has 96 divisors (see below), whose sum is σ = 970696840957200. Its totient is φ = 83497176322560.

The previous prime is 313121212210199. The next prime is 313121212210201. The reversal of 313121212210200 is 2012212121313.

It is an interprime number because it is at equal distance from previous prime (313121212210199) and next prime (313121212210201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121212210201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22093014 + ... + 33381786.

Almost surely, 2^{313121212210200} is an apocalyptic number.

313121212210200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313121212210200 is an abundant number, since it is smaller than the sum of its proper divisors (657575628747000).

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

313121212210200 is a wasteful number, since it uses less digits than its factorization.

313121212210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335021 (or 11335012 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 313121212210200 its reverse (2012212121313), we get a palindrome (315133424331513).

The spelling of 313121212210200 in words is "three hundred thirteen trillion, one hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, two hundred".