2221313129 has 24 divisors (see below), whose sum is σ = 2657033568. Its totient is φ = 1850506560.

The previous prime is 2221313027. The next prime is 2221313173. The reversal of 2221313129 is 9213131222.

It is not a de Polignac number, because 2221313129 - 2²⁸ = 1952877673 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2221313098 and 2221313107.

It is not an unprimeable number, because it can be changed into a prime (2221313179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566594 + ... + 570500.

It is an arithmetic number, because the mean of its divisors is an integer number (110709732).

Almost surely, 2^2221313129 is an apocalyptic number.

It is an amenable number.

2221313129 is a deficient number, since it is larger than the sum of its proper divisors (435720439).

2221313129 is a wasteful number, since it uses less digits than its factorization.

2221313129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4238 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 2221313129 is about 47130.8087030129. The cubic root of 2221313129 is about 1304.7779071363. Note that the first 3 decimals are identical.

The spelling of 2221313129 in words is "two billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-nine".