13001001321 has 64 divisors (see below), whose sum is σ = 22582149120. Its totient is φ = 6451410240.

The previous prime is 13001001319. The next prime is 13001001329. The reversal of 13001001321 is 12310010031.

13001001321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001001321 - 2¹ = 13001001319 is a prime.

It is a super-3 number, since 3×13001001321³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13001001297 and 13001001306.

It is not an unprimeable number, because it can be changed into a prime (13001001329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5965410 + ... + 5967588.

It is an arithmetic number, because the mean of its divisors is an integer number (352846080).

Almost surely, 2^13001001321 is an apocalyptic number.

13001001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13001001321 is a deficient number, since it is larger than the sum of its proper divisors (9581147799).

13001001321 is a wasteful number, since it uses less digits than its factorization.

13001001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13001001321 its reverse (12310010031), we get a palindrome (25311011352).

The spelling of 13001001321 in words is "thirteen billion, one million, one thousand, three hundred twenty-one".