313728827313 has 48 divisors (see below), whose sum is σ = 462299731200. Its totient is φ = 187683048000.

The previous prime is 313728827273. The next prime is 313728827339.

313728827313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313728827313 - 2¹³ = 313728819121 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (313728827813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127582678 + ... + 127585136.

It is an arithmetic number, because the mean of its divisors is an integer number (9631244400).

Almost surely, 2^313728827313 is an apocalyptic number.

313728827313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313728827313 is a deficient number, since it is larger than the sum of its proper divisors (148570903887).

313728827313 is a wasteful number, since it uses less digits than its factorization.

313728827313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 2953 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 313728827313 in words is "three hundred thirteen billion, seven hundred twenty-eight million, eight hundred twenty-seven thousand, three hundred thirteen".