13016401321 has 32 divisors (see below), whose sum is σ = 16344529920. Its totient is φ = 10070260800.

The previous prime is 13016401261. The next prime is 13016401327. The reversal of 13016401321 is 12310461031.

13016401321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13016401321 - 2¹⁵ = 13016368553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13016401292 and 13016401301.

It is not an unprimeable number, because it can be changed into a prime (13016401327) 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 31 ways as a sum of consecutive naturals, for example, 7186506 + ... + 7188316.

It is an arithmetic number, because the mean of its divisors is an integer number (510766560).

Almost surely, 2^13016401321 is an apocalyptic number.

13016401321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13016401321 is a deficient number, since it is larger than the sum of its proper divisors (3328128599).

13016401321 is a wasteful number, since it uses less digits than its factorization.

13016401321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13016401321 its reverse (12310461031), we get a palindrome (25326862352).

The spelling of 13016401321 in words is "thirteen billion, sixteen million, four hundred one thousand, three hundred twenty-one".