313513510313 has 4 divisors (see below), whose sum is σ = 317482035840. Its totient is φ = 309544984788.

The previous prime is 313513510243. The next prime is 313513510337. The reversal of 313513510313 is 313015315313.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313015315313 = 70177 ⋅4460369.

It is a cyclic number.

It is not a de Polignac number, because 313513510313 - 2¹⁴ = 313513493929 is a prime.

It is a super-3 number, since 3×313513510313³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313513510613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1984262645 + ... + 1984262802.

It is an arithmetic number, because the mean of its divisors is an integer number (79370508960).

Almost surely, 2^313513510313 is an apocalyptic number.

It is an amenable number.

313513510313 is a deficient number, since it is larger than the sum of its proper divisors (3968525527).

313513510313 is an equidigital number, since it uses as much as digits as its factorization.

313513510313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968525526.

The product of its (nonzero) digits is 6075, while the sum is 29.

Adding to 313513510313 its reverse (313015315313), we get a palindrome (626528825626).

The spelling of 313513510313 in words is "three hundred thirteen billion, five hundred thirteen million, five hundred ten thousand, three hundred thirteen".