2221301313 has 80 divisors (see below), whose sum is σ = 4280031360. Its totient is φ = 1114041600.

The previous prime is 2221301309. The next prime is 2221301359. The reversal of 2221301313 is 3131031222.

2221301313 is a `hidden beast` number, since 222 + 130 + 1 + 313 = 666.

It is not a de Polignac number, because 2221301313 - 2² = 2221301309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221301363) 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 79 ways as a sum of consecutive naturals, for example, 174733 + ... + 187013.

It is an arithmetic number, because the mean of its divisors is an integer number (53500392).

Almost surely, 2^2221301313 is an apocalyptic number.

It is an amenable number.

2221301313 is a deficient number, since it is larger than the sum of its proper divisors (2058730047).

2221301313 is a wasteful number, since it uses less digits than its factorization.

2221301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340 (or 12331 counting only the distinct ones).

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

The square root of 2221301313 is about 47130.6833495972. The cubic root of 2221301313 is about 1304.7755935974.

Adding to 2221301313 its reverse (3131031222), we get a palindrome (5352332535).

The spelling of 2221301313 in words is "two billion, two hundred twenty-one million, three hundred one thousand, three hundred thirteen".