311413211 has 16 divisors (see below), whose sum is σ = 336399360. Its totient is φ = 287349120.

The previous prime is 311413183. The next prime is 311413231. The reversal of 311413211 is 112314113.

It is not a de Polignac number, because 311413211 - 2¹⁰ = 311412187 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311413211.

It is not an unprimeable number, because it can be changed into a prime (311413231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214490 + ... + 215936.

It is an arithmetic number, because the mean of its divisors is an integer number (21024960).

Almost surely, 2^311413211 is an apocalyptic number.

311413211 is a deficient number, since it is larger than the sum of its proper divisors (24986149).

311413211 is a wasteful number, since it uses less digits than its factorization.

311413211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754.

The product of its digits is 72, while the sum is 17.

The square root of 311413211 is about 17646.9037227498. The cubic root of 311413211 is about 677.8168239910.

Adding to 311413211 its reverse (112314113), we get a palindrome (423727324).

The spelling of 311413211 in words is "three hundred eleven million, four hundred thirteen thousand, two hundred eleven".