311101310313 has 48 divisors (see below), whose sum is σ = 463092664320. Its totient is φ = 201184312032.

The previous prime is 311101310269. The next prime is 311101310329. The reversal of 311101310313 is 313013101113.

311101310313 is a `hidden beast` number, since 31 + 1 + 10 + 1 + 310 + 313 = 666.

It is not a de Polignac number, because 311101310313 - 2⁹ = 311101309801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311101310713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11103520 + ... + 11131502.

It is an arithmetic number, because the mean of its divisors is an integer number (9647763840).

Almost surely, 2^311101310313 is an apocalyptic number.

It is an amenable number.

311101310313 is a deficient number, since it is larger than the sum of its proper divisors (151991354007).

311101310313 is a wasteful number, since it uses less digits than its factorization.

311101310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28338 (or 28335 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 311101310313 its reverse (313013101113), we get a palindrome (624114411426).

The spelling of 311101310313 in words is "three hundred eleven billion, one hundred one million, three hundred ten thousand, three hundred thirteen".