13003221313 has 4 divisors (see below), whose sum is σ = 13040057988. Its totient is φ = 12966384640.

The previous prime is 13003221277. The next prime is 13003221323. The reversal of 13003221313 is 31312230031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31312230031 = 2693 ⋅11627267.

It can be written as a sum of positive squares in 2 ways, for example, as 8243187264 + 4760034049 = 90792^2 + 68993^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003221313 - 2⁹ = 13003220801 is a prime.

It is a super-3 number, since 3×13003221313³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13003221323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18417808 + ... + 18418513.

It is an arithmetic number, because the mean of its divisors is an integer number (3260014497).

Almost surely, 2^13003221313 is an apocalyptic number.

It is an amenable number.

13003221313 is a deficient number, since it is larger than the sum of its proper divisors (36836675).

13003221313 is an equidigital number, since it uses as much as digits as its factorization.

13003221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36836674.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13003221313 its reverse (31312230031), we get a palindrome (44315451344).

The spelling of 13003221313 in words is "thirteen billion, three million, two hundred twenty-one thousand, three hundred thirteen".