313120530314214 has 256 divisors, whose sum is σ = 767527035125760. Its totient is φ = 83237305536000.

The previous prime is 313120530314161. The next prime is 313120530314257. The reversal of 313120530314214 is 412413035021313.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1909061469 + ... + 1909225479.

It is an arithmetic number, because the mean of its divisors is an integer number (2998152480960).

Almost surely, 2^{313120530314214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313120530314214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383763517562880).

313120530314214 is an abundant number, since it is smaller than the sum of its proper divisors (454406504811546).

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

313120530314214 is a wasteful number, since it uses less digits than its factorization.

313120530314214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164467.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 313120530314214 its reverse (412413035021313), we get a palindrome (725533565335527).

The spelling of 313120530314214 in words is "three hundred thirteen trillion, one hundred twenty billion, five hundred thirty million, three hundred fourteen thousand, two hundred fourteen".