313320101311200 has 144 divisors (see below), whose sum is σ = 1019921564435760. Its totient is φ = 83546731806720.

The previous prime is 313320101311181. The next prime is 313320101311367. The reversal of 313320101311200 is 2113101023313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33812622 + ... + 42070578.

It is an arithmetic number, because the mean of its divisors is an integer number (7082788641915).

Almost surely, 2^{313320101311200} is an apocalyptic number.

313320101311200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313320101311200 is an abundant number, since it is smaller than the sum of its proper divisors (706601463124560).

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

313320101311200 is a wasteful number, since it uses less digits than its factorization.

313320101311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273789 (or 8273776 counting only the distinct ones).

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

Adding to 313320101311200 its reverse (2113101023313), we get a palindrome (315433202334513).

The spelling of 313320101311200 in words is "three hundred thirteen trillion, three hundred twenty billion, one hundred one million, three hundred eleven thousand, two hundred".