2220133311 has 36 divisors (see below), whose sum is σ = 3595717944. Its totient is φ = 1309089600.

The previous prime is 2220133303. The next prime is 2220133423. The reversal of 2220133311 is 1133310222.

2220133311 is a `hidden beast` number, since 2 + 220 + 133 + 311 = 666.

2220133311 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2220133311 - 2³ = 2220133303 is a prime.

It is a super-2 number, since 2×2220133311² = 9857983837223645442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220135311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127341 + ... + 143721.

It is an arithmetic number, because the mean of its divisors is an integer number (99881054).

Almost surely, 2^2220133311 is an apocalyptic number.

2220133311 is a deficient number, since it is larger than the sum of its proper divisors (1375584633).

2220133311 is a wasteful number, since it uses less digits than its factorization.

2220133311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16472 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2220133311 is about 47118.2906205223. The cubic root of 2220133311 is about 1304.5468616548.

Adding to 2220133311 its reverse (1133310222), we get a palindrome (3353443533).

Subtracting from 2220133311 its reverse (1133310222), we obtain a square (1086823089 = 32967²).

It can be divided in two parts, 2220 and 133311, that added together give a palindrome (135531).

The spelling of 2220133311 in words is "two billion, two hundred twenty million, one hundred thirty-three thousand, three hundred eleven".