313253202352313 has 16 divisors (see below), whose sum is σ = 321632218009872. Its totient is φ = 304909538304000.

The previous prime is 313253202352303. The next prime is 313253202352327.

313253202352313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 523404500089 + 312729797852224 = 723467^2 + 17684168^2 .

It is a cyclic number.

It is not a de Polignac number, because 313253202352313 - 2²⁰ = 313253201303737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313253202352303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142043033 + ... + 144231513.

It is an arithmetic number, because the mean of its divisors is an integer number (20102013625617).

Almost surely, 2^{313253202352313} is an apocalyptic number.

It is an amenable number.

313253202352313 is a deficient number, since it is larger than the sum of its proper divisors (8379015657559).

313253202352313 is a wasteful number, since it uses less digits than its factorization.

313253202352313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196556.

The product of its (nonzero) digits is 291600, while the sum is 38.

It can be divided in two parts, 31325320 and 2352313, that added together give a palindrome (33677633).

The spelling of 313253202352313 in words is "three hundred thirteen trillion, two hundred fifty-three billion, two hundred two million, three hundred fifty-two thousand, three hundred thirteen".