313111211101 has 16 divisors (see below), whose sum is σ = 340624695600. Its totient is φ = 286088947200.

The previous prime is 313111211093. The next prime is 313111211143. The reversal of 313111211101 is 101112111313.

It can be written as a sum of positive squares in 8 ways, for example, as 10500100900 + 302611110201 = 102470^2 + 550101^2 .

It is a cyclic number.

It is not a de Polignac number, because 313111211101 - 2³ = 313111211093 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 (313111217101) 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, 5318575 + ... + 5377123.

It is an arithmetic number, because the mean of its divisors is an integer number (21289043475).

Almost surely, 2^313111211101 is an apocalyptic number.

It is an amenable number.

313111211101 is a deficient number, since it is larger than the sum of its proper divisors (27513484499).

313111211101 is a wasteful number, since it uses less digits than its factorization.

313111211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62736.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 313111211101 its reverse (101112111313), we get a palindrome (414223322414).

The spelling of 313111211101 in words is "three hundred thirteen billion, one hundred eleven million, two hundred eleven thousand, one hundred one".