313011023113200 has 120 divisors (see below), whose sum is σ = 1002711643514608. Its totient is φ = 83466859069440.

The previous prime is 313011023113193. The next prime is 313011023113207. The reversal of 313011023113200 is 2311320110313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313011023113193) and next prime (313011023113207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313011023113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32314512 + ... + 40868688.

Almost surely, 2^{313011023113200} is an apocalyptic number.

313011023113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313011023113200 is an abundant number, since it is smaller than the sum of its proper divisors (689700620401408).

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

313011023113200 is a wasteful number, since it uses less digits than its factorization.

313011023113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584691 (or 8584680 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313011023113200 its reverse (2311320110313), we get a palindrome (315322343223513).

The spelling of 313011023113200 in words is "three hundred thirteen trillion, eleven billion, twenty-three million, one hundred thirteen thousand, two hundred".