2221313130 has 96 divisors (see below), whose sum is σ = 5975424000. Its totient is φ = 572075136.

The previous prime is 2221313027. The next prime is 2221313173. The reversal of 2221313130 is 313131222.

2221313130 is a `hidden beast` number, since 2 + 221 + 313 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 460471 + ... + 465269.

It is an arithmetic number, because the mean of its divisors is an integer number (62244000).

Almost surely, 2^2221313130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712000).

2221313130 is an abundant number, since it is smaller than the sum of its proper divisors (3754110870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2221313130 is a wasteful number, since it uses less digits than its factorization.

2221313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4985 counting only the distinct ones).

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

The square root of 2221313130 is about 47130.8087136217. The cubic root of 2221313130 is about 1304.7779073321. Note that the first 3 decimals are identical.

Adding to 2221313130 its reverse (313131222), we get a palindrome (2534444352).

The spelling of 2221313130 in words is "two billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred thirty".