2011131221 has 16 divisors (see below), whose sum is σ = 2261867328. Its totient is φ = 1772284800.

The previous prime is 2011131211. The next prime is 2011131259. The reversal of 2011131221 is 1221311102.

It is not a de Polignac number, because 2011131221 - 2²⁶ = 1944022357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011131196 and 2011131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011131211) 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, 56606 + ... + 85008.

It is an arithmetic number, because the mean of its divisors is an integer number (141366708).

Almost surely, 2^2011131221 is an apocalyptic number.

It is an amenable number.

2011131221 is a deficient number, since it is larger than the sum of its proper divisors (250736107).

2011131221 is a wasteful number, since it uses less digits than its factorization.

2011131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28612.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2011131221 is about 44845.6377031256. The cubic root of 2011131221 is about 1262.2541368238.

Adding to 2011131221 its reverse (1221311102), we get a palindrome (3232442323).

The spelling of 2011131221 in words is "two billion, eleven million, one hundred thirty-one thousand, two hundred twenty-one".