13301121144321 has 12 divisors (see below), whose sum is σ = 19212824251348. Its totient is φ = 8867370845664.

The previous prime is 13301121144307. The next prime is 13301121144349. The reversal of 13301121144321 is 12344112110331.

13301121144321 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 1 + 211 + 443 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525422019600 + 12775699124721 = 724860^2 + 3574311^2 .

It is not a de Polignac number, because 13301121144321 - 2⁶ = 13301121144257 is a prime.

It is a super-3 number, since 3×13301121144321³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13301121144301) 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, 1597690 + ... + 5399523.

Almost surely, 2^{13301121144321} is an apocalyptic number.

It is an amenable number.

13301121144321 is a deficient number, since it is larger than the sum of its proper divisors (5911703107027).

13301121144321 is a wasteful number, since it uses less digits than its factorization.

13301121144321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208432 (or 7208429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13301121144321 its reverse (12344112110331), we get a palindrome (25645233254652).

The spelling of 13301121144321 in words is "thirteen trillion, three hundred one billion, one hundred twenty-one million, one hundred forty-four thousand, three hundred twenty-one".