313441000000000 has 400 divisors, whose sum is σ = 808169917243392. Its totient is φ = 121320000000000.

The previous prime is 313440999999997. The next prime is 313441000000087. The reversal of 313441000000000 is 144313.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30999994945 + ... + 31000005055.

Almost surely, 2^{313441000000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313441000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404084958621696).

313441000000000 is an abundant number, since it is smaller than the sum of its proper divisors (494728917243392).

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

313441000000000 is an frugal number, since it uses more digits than its factorization.

313441000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 313441000000000 its reverse (144313), we get a palindrome (313441000144313).

The spelling of 313441000000000 in words is "three hundred thirteen trillion, four hundred forty-one billion", and thus it is an aban number.