313212210133200 has 240 divisors, whose sum is σ = 1152596209942656. Its totient is φ = 71220422246400.

The previous prime is 313212210133189. The next prime is 313212210133301. The reversal of 313212210133200 is 2331012212313.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94977681 + ... + 98220080.

Almost surely, 2^{313212210133200} is an apocalyptic number.

313212210133200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313212210133200 is an abundant number, since it is smaller than the sum of its proper divisors (839383999809456).

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

313212210133200 is a wasteful number, since it uses less digits than its factorization.

313212210133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193197982 (or 193197971 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 313212210133200 its reverse (2331012212313), we get a palindrome (315543222345513).

The spelling of 313212210133200 in words is "three hundred thirteen trillion, two hundred twelve billion, two hundred ten million, one hundred thirty-three thousand, two hundred".