313444434234100 has 72 divisors (see below), whose sum is σ = 744503655353528. Its totient is φ = 113836061836800.

The previous prime is 313444434233977. The next prime is 313444434234149. The reversal of 313444434234100 is 1432434444313.

It can be written as a sum of positive squares in 12 ways, for example, as 243133291223824 + 70311143010276 = 15592732^2 + 8385174^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1976241219 + ... + 1976399818.

Almost surely, 2^{313444434234100} is an apocalyptic number.

It is an amenable number.

313444434234100 is an abundant number, since it is smaller than the sum of its proper divisors (431059221119428).

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

313444434234100 is a wasteful number, since it uses less digits than its factorization.

313444434234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952641125 (or 3952641118 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 313444434234100 its reverse (1432434444313), we get a palindrome (314876868678413).

The spelling of 313444434234100 in words is "three hundred thirteen trillion, four hundred forty-four billion, four hundred thirty-four million, two hundred thirty-four thousand, one hundred".