313010010313 has 64 divisors (see below), whose sum is σ = 426990735360. Its totient is φ = 221566176000.

The previous prime is 313010010301. The next prime is 313010010329.

313010010313 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-313010010313 is a prime.

It is a super-2 number, since 2×313010010313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313010010343) 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, 16874598 + ... + 16893136.

It is an arithmetic number, because the mean of its divisors is an integer number (6671730240).

Almost surely, 2^313010010313 is an apocalyptic number.

It is an amenable number.

313010010313 is a deficient number, since it is larger than the sum of its proper divisors (113980725047).

313010010313 is a wasteful number, since it uses less digits than its factorization.

313010010313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18838.

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 3130100 and 10313, that added together give a palindrome (3140413).

The spelling of 313010010313 in words is "three hundred thirteen billion, ten million, ten thousand, three hundred thirteen".