1320021313 has 32 divisors (see below), whose sum is σ = 1510709760. Its totient is φ = 1151092800.

The previous prime is 1320021301. The next prime is 1320021331. The reversal of 1320021313 is 3131200231.

It is not a de Polignac number, because 1320021313 - 2¹⁷ = 1319890241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320021343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7630095 + ... + 7630267.

It is an arithmetic number, because the mean of its divisors is an integer number (47209680).

Almost surely, 2^1320021313 is an apocalyptic number.

1320021313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1320021313 is a deficient number, since it is larger than the sum of its proper divisors (190688447).

1320021313 is a wasteful number, since it uses less digits than its factorization.

1320021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1320021313 is about 36332.0975584950. The cubic root of 1320021313 is about 1096.9672143781.

Adding to 1320021313 its reverse (3131200231), we get a palindrome (4451221544).

The spelling of 1320021313 in words is "one billion, three hundred twenty million, twenty-one thousand, three hundred thirteen".