313114310131311 has 12 divisors (see below), whose sum is σ = 487066704648888. Its totient is φ = 192685729311504.

The previous prime is 313114310131261. The next prime is 313114310131367. The reversal of 313114310131311 is 113131013411313.

313114310131311 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 4 + 310 + 1 + 31 + 311 = 666.

It is not a de Polignac number, because 313114310131311 - 2¹³ = 313114310123119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313114310139311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338095342325 + ... + 1338095342558.

It is an arithmetic number, because the mean of its divisors is an integer number (40588892054074).

Almost surely, 2^{313114310131311} is an apocalyptic number.

313114310131311 is a deficient number, since it is larger than the sum of its proper divisors (173952394517577).

313114310131311 is a wasteful number, since it uses less digits than its factorization.

313114310131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676190684902 (or 2676190684899 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 313114310131311 its reverse (113131013411313), we get a palindrome (426245323542624).

The spelling of 313114310131311 in words is "three hundred thirteen trillion, one hundred fourteen billion, three hundred ten million, one hundred thirty-one thousand, three hundred eleven".