1320221313 has 12 divisors (see below), whose sum is σ = 1926647268. Its totient is φ = 871073280.

The previous prime is 1320221311. The next prime is 1320221333. The reversal of 1320221313 is 3131220231.

1320221313 is a `hidden beast` number, since 132 + 0 + 221 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180956304 + 1139265009 = 13452^2 + 33753^2 .

It is not a de Polignac number, because 1320221313 - 2¹ = 1320221311 is a prime.

It is a super-3 number, since 3×1320221313³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1320221311) 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, 755268 + ... + 757013.

It is an arithmetic number, because the mean of its divisors is an integer number (160553939).

Almost surely, 2^1320221313 is an apocalyptic number.

It is an amenable number.

1320221313 is a deficient number, since it is larger than the sum of its proper divisors (606425955).

1320221313 is a wasteful number, since it uses less digits than its factorization.

1320221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512384 (or 1512381 counting only the distinct ones).

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

The square root of 1320221313 is about 36334.8498414401. The cubic root of 1320221313 is about 1097.0226130704.

Adding to 1320221313 its reverse (3131220231), we get a palindrome (4451441544).

The spelling of 1320221313 in words is "one billion, three hundred twenty million, two hundred twenty-one thousand, three hundred thirteen".