313111040111313 has 64 divisors (see below), whose sum is σ = 452738756640768. Its totient is φ = 192089389282560.

The previous prime is 313111040111293. The next prime is 313111040111321.

313111040111313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313111040111313 - 2²⁶ = 313110973002449 is a prime.

It is a super-3 number, since 3×313111040111313³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (313111040116313) 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, 23932531 + ... + 34626407.

It is an arithmetic number, because the mean of its divisors is an integer number (7074043072512).

Almost surely, 2^{313111040111313} is an apocalyptic number.

It is an amenable number.

313111040111313 is a deficient number, since it is larger than the sum of its proper divisors (139627716529455).

313111040111313 is a wasteful number, since it uses less digits than its factorization.

313111040111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10694142.

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 313111040111313 in words is "three hundred thirteen trillion, one hundred eleven billion, forty million, one hundred eleven thousand, three hundred thirteen".