313301314324130 has 192 divisors, whose sum is σ = 663090179562720. Its totient is φ = 106123100160000.

The previous prime is 313301314324129. The next prime is 313301314324139. The reversal of 313301314324130 is 31423413103313.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 15673847278441 + 297627467045689 = 3959021^2 + 17251883^2 .

It is not an unprimeable number, because it can be changed into a prime (313301314324139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5586557690 + ... + 5586613770.

Almost surely, 2^{313301314324130} is an apocalyptic number.

313301314324130 is an abundant number, since it is smaller than the sum of its proper divisors (349788865238590).

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

313301314324130 is a wasteful number, since it uses less digits than its factorization.

313301314324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58917 (or 58906 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 313301314324130 its reverse (31423413103313), we get a palindrome (344724727427443).

The spelling of 313301314324130 in words is "three hundred thirteen trillion, three hundred one billion, three hundred fourteen million, three hundred twenty-four thousand, one hundred thirty".