13164516321 has 64 divisors (see below), whose sum is σ = 20535939072. Its totient is φ = 7413120000.

The previous prime is 13164516319. The next prime is 13164516397. The reversal of 13164516321 is 12361546131.

It is a happy number.

It is not a de Polignac number, because 13164516321 - 2¹ = 13164516319 is a prime.

It is a super-3 number, since 3×13164516321³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13164516721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19915731 + ... + 19916391.

It is an arithmetic number, because the mean of its divisors is an integer number (320874048).

Almost surely, 2^13164516321 is an apocalyptic number.

13164516321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13164516321 is a deficient number, since it is larger than the sum of its proper divisors (7371422751).

13164516321 is a wasteful number, since it uses less digits than its factorization.

13164516321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094.

The product of its digits is 12960, while the sum is 33.

The spelling of 13164516321 in words is "thirteen billion, one hundred sixty-four million, five hundred sixteen thousand, three hundred twenty-one".