313142311144000 has 112 divisors (see below), whose sum is σ = 835150544098416. Its totient is φ = 115621776384000.

The previous prime is 313142311143971. The next prime is 313142311144007. The reversal of 313142311144000 is 441113241313.

It can be written as a sum of positive squares in 8 ways, for example, as 129881762178624 + 183260548965376 = 11396568^2 + 13537376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313142311144000.

It is not an unprimeable number, because it can be changed into a prime (313142311144007) 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 15 ways as a sum of consecutive naturals, for example, 1505387881 + ... + 1505595880.

It is an arithmetic number, because the mean of its divisors is an integer number (7456701286593).

Almost surely, 2^{313142311144000} is an apocalyptic number.

It is an amenable number.

313142311144000 is an abundant number, since it is smaller than the sum of its proper divisors (522008232954416).

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

313142311144000 is a wasteful number, since it uses less digits than its factorization.

313142311144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010983801 (or 3010983781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 313142311144000 its reverse (441113241313), we get a palindrome (313583424385313).

The spelling of 313142311144000 in words is "three hundred thirteen trillion, one hundred forty-two billion, three hundred eleven million, one hundred forty-four thousand".