313113312112013 has 16 divisors (see below), whose sum is σ = 357898988851584. Its totient is φ = 268341438496320.

The previous prime is 313113312111983. The next prime is 313113312112079. The reversal of 313113312112013 is 310211213311313.

It is not a de Polignac number, because 313113312112013 - 2³⁰ = 313112238370189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313113312112093) 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, 2267110106 + ... + 2267248212.

It is an arithmetic number, because the mean of its divisors is an integer number (22368686803224).

Almost surely, 2^{313113312112013} is an apocalyptic number.

It is an amenable number.

313113312112013 is a deficient number, since it is larger than the sum of its proper divisors (44785676739571).

313113312112013 is a wasteful number, since it uses less digits than its factorization.

313113312112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185732.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 313113312112013 its reverse (310211213311313), we get a palindrome (623324525423326).

The spelling of 313113312112013 in words is "three hundred thirteen trillion, one hundred thirteen billion, three hundred twelve million, one hundred twelve thousand, thirteen".