2211113313 has 24 divisors (see below), whose sum is σ = 3464193096. Its totient is φ = 1353523200.

The previous prime is 2211113309. The next prime is 2211113321. The reversal of 2211113313 is 3133111122.

2211113313 is a `hidden beast` number, since 221 + 111 + 331 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202549824 + 2008563489 = 14232^2 + 44817^2 .

It is not a de Polignac number, because 2211113313 - 2² = 2211113309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2211113213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169968 + ... + 182513.

It is an arithmetic number, because the mean of its divisors is an integer number (144341379).

Almost surely, 2^2211113313 is an apocalyptic number.

It is an amenable number.

2211113313 is a deficient number, since it is larger than the sum of its proper divisors (1253079783).

2211113313 is a wasteful number, since it uses less digits than its factorization.

2211113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352545 (or 352542 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2211113313 is about 47022.4766787119. The cubic root of 2211113313 is about 1302.7777513898. Note that the first 4 decimals are identical.

Adding to 2211113313 its reverse (3133111122), we get a palindrome (5344224435).

The spelling of 2211113313 in words is "two billion, two hundred eleven million, one hundred thirteen thousand, three hundred thirteen".