313113343311313 has 8 divisors (see below), whose sum is σ = 345946200283008. Its totient is φ = 281882089118784.

The previous prime is 313113343311283. The next prime is 313113343311317.

It is a happy number.

313113343311313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313113343311313 - 2³³ = 313104753376721 is a prime.

It is a super-3 number, since 3×313113343311313³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313113343311317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400400694381 + ... + 400400695162.

It is an arithmetic number, because the mean of its divisors is an integer number (43243275035376).

Almost surely, 2^{313113343311313} is an apocalyptic number.

It is an amenable number.

313113343311313 is a deficient number, since it is larger than the sum of its proper divisors (32832856971695).

313113343311313 is a wasteful number, since it uses less digits than its factorization.

313113343311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800801389583.

The product of its digits is 26244, while the sum is 34.

The spelling of 313113343311313 in words is "three hundred thirteen trillion, one hundred thirteen billion, three hundred forty-three million, three hundred eleven thousand, three hundred thirteen".