13313313 has 18 divisors (see below), whose sum is σ = 20825766. Its totient is φ = 8191872.

The previous prime is 13313309. The next prime is 13313327. The reversal of 13313313 is 31331331.

13313313 is a `hidden beast` number, since 1 + 331 + 331 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 12723489 = 768^2 + 3567^2 .

It is not a de Polignac number, because 13313313 - 2² = 13313309 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13313383) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2856 + ... + 5897.

It is an arithmetic number, because the mean of its divisors is an integer number (1156987).

Almost surely, 2^13313313 is an apocalyptic number.

13313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13313313 is a deficient number, since it is larger than the sum of its proper divisors (7512453).

13313313 is a wasteful number, since it uses less digits than its factorization.

13313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8769 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 13313313 is about 3648.7412898149. The cubic root of 13313313 is about 237.0074771983.

Adding to 13313313 its reverse (31331331), we get a palindrome (44644644).

It can be divided in two parts, 1331331 and 3, that multiplied together give a palindrome (3993993).

The spelling of 13313313 in words is "thirteen million, three hundred thirteen thousand, three hundred thirteen".