313103122131200 has 108 divisors (see below), whose sum is σ = 820566158724900. Its totient is φ = 117874116526080.

The previous prime is 313103122131199. The next prime is 313103122131227. The reversal of 313103122131200 is 2131221301313.

It can be written as a sum of positive squares in 6 ways, for example, as 2069546942464 + 311033575188736 = 1438592^2 + 17636144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1438784225 + ... + 1439001824.

Almost surely, 2^{313103122131200} is an apocalyptic number.

It is an amenable number.

313103122131200 is an abundant number, since it is smaller than the sum of its proper divisors (507463036593700).

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

313103122131200 is a wasteful number, since it uses less digits than its factorization.

313103122131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877786092 (or 2877786073 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 313103122131200 its reverse (2131221301313), we get a palindrome (315234343432513).

The spelling of 313103122131200 in words is "three hundred thirteen trillion, one hundred three billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred".