1313321321 has 24 divisors (see below), whose sum is σ = 1485442056. Its totient is φ = 1154165760.

The previous prime is 1313321309. The next prime is 1313321323. The reversal of 1313321321 is 1231233131.

It can be written as a sum of positive squares in 4 ways, for example, as 12709225 + 1300612096 = 3565^2 + 36064^2 .

It is not a de Polignac number, because 1313321321 - 2⁶ = 1313321257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313321293 and 1313321302.

It is not an unprimeable number, because it can be changed into a prime (1313321323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2427311 + ... + 2427851.

It is an arithmetic number, because the mean of its divisors is an integer number (61893419).

Almost surely, 2^1313321321 is an apocalyptic number.

It is an amenable number.

1313321321 is a deficient number, since it is larger than the sum of its proper divisors (172120735).

1313321321 is a wasteful number, since it uses less digits than its factorization.

1313321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 930 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 1313321321 is about 36239.7753994144. The cubic root of 1313321321 is about 1095.1081177342.

Adding to 1313321321 its reverse (1231233131), we get a palindrome (2544554452).

The spelling of 1313321321 in words is "one billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred twenty-one".