313240442113040 has 80 divisors (see below), whose sum is σ = 793118302023600. Its totient is φ = 114358481166336.

The previous prime is 313240442112937. The next prime is 313240442113063. The reversal of 313240442113040 is 40311244042313.

It can be written as a sum of positive squares in 8 ways, for example, as 97434587842816 + 215805854270224 = 9870896^2 + 14690332^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 313240442112988 and 313240442113006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692001445 + ... + 1692186564.

It is an arithmetic number, because the mean of its divisors is an integer number (9913978775295).

Almost surely, 2^{313240442113040} is an apocalyptic number.

It is an amenable number.

313240442113040 is an abundant number, since it is smaller than the sum of its proper divisors (479877859910560).

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

313240442113040 is a wasteful number, since it uses less digits than its factorization.

313240442113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384188124 (or 3384188118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 313240442113040 its reverse (40311244042313), we get a palindrome (353551686155353).

The spelling of 313240442113040 in words is "three hundred thirteen trillion, two hundred forty billion, four hundred forty-two million, one hundred thirteen thousand, forty".