313441201200 has 60 divisors (see below), whose sum is σ = 1004056651688. Its totient is φ = 83584320000.

The previous prime is 313441201163. The next prime is 313441201201. The reversal of 313441201200 is 2102144313.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (313441201201) by changing a digit.

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, 130599301 + ... + 130601700.

Almost surely, 2^313441201200 is an apocalyptic number.

313441201200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313441201200 is an abundant number, since it is smaller than the sum of its proper divisors (690615450488).

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

313441201200 is a wasteful number, since it uses less digits than its factorization.

313441201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261201022 (or 261201011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 313441201200 its reverse (2102144313), we get a palindrome (315543345513).

The spelling of 313441201200 in words is "three hundred thirteen billion, four hundred forty-one million, two hundred one thousand, two hundred".