13430260321 has 15 divisors (see below), whose sum is σ = 14305315423. Its totient is φ = 12608723200.

The previous prime is 13430260307. The next prime is 13430260343. The reversal of 13430260321 is 12306203431.

The square root of 13430260321 is 115889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2985420321 + 10444840000 = 54639^2 + 102200^2 .

It is not a de Polignac number, because 13430260321 - 2⁹ = 13430259809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13430260351) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33491721 + ... + 33492121.

Almost surely, 2^13430260321 is an apocalyptic number.

13430260321 is the 115889-th square number.

13430260321 is the 57945-th centered octagonal number.

It is an amenable number.

13430260321 is a deficient number, since it is larger than the sum of its proper divisors (875055102).

13430260321 is an frugal number, since it uses more digits than its factorization.

13430260321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Multiplying 13430260321 by its sum of digits (25), we get a square (335756508025 = 579445²).

Adding to 13430260321 its reverse (12306203431), we get a palindrome (25736463752).

The spelling of 13430260321 in words is "thirteen billion, four hundred thirty million, two hundred sixty thousand, three hundred twenty-one".