2221313121 has 12 divisors (see below), whose sum is σ = 3212599572. Its totient is φ = 1479012576.

The previous prime is 2221313027. The next prime is 2221313173. The reversal of 2221313121 is 1213131222.

2221313121 is a `hidden beast` number, since 222 + 131 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 596336400 + 1624976721 = 24420^2 + 40311^2 .

It is not a de Polignac number, because 2221313121 - 2⁷ = 2221312993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221313094 and 2221313103.

It is not an unprimeable number, because it can be changed into a prime (2221313821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147666 + ... + 162011.

It is an arithmetic number, because the mean of its divisors is an integer number (267716631).

Almost surely, 2^2221313121 is an apocalyptic number.

It is an amenable number.

2221313121 is a deficient number, since it is larger than the sum of its proper divisors (991286451).

2221313121 is a wasteful number, since it uses less digits than its factorization.

2221313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310480 (or 310477 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2221313121 is about 47130.8086181428. The cubic root of 2221313121 is about 1304.7779055700. Note that the first 3 decimals are identical.

Adding to 2221313121 its reverse (1213131222), we get a palindrome (3434444343).

The spelling of 2221313121 in words is "two billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-one".