313134114303320 has 256 divisors, whose sum is σ = 774473453740800. Its totient is φ = 113606807592960.

The previous prime is 313134114303277. The next prime is 313134114303323. The reversal of 313134114303320 is 23303411431313.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313134114303323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225640202 + ... + 227023718.

It is an arithmetic number, because the mean of its divisors is an integer number (3025286928675).

Almost surely, 2^{313134114303320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313134114303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387236726870400).

313134114303320 is an abundant number, since it is smaller than the sum of its proper divisors (461339339437480).

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

313134114303320 is a wasteful number, since it uses less digits than its factorization.

313134114303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383758 (or 1383754 counting only the distinct ones).

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

Adding to 313134114303320 its reverse (23303411431313), we get a palindrome (336437525734633).

The spelling of 313134114303320 in words is "three hundred thirteen trillion, one hundred thirty-four billion, one hundred fourteen million, three hundred three thousand, three hundred twenty".