13164002013 has 8 divisors (see below), whose sum is σ = 17554350688. Its totient is φ = 8774827344.

The previous prime is 13164001967. The next prime is 13164002029. The reversal of 13164002013 is 31020046131.

13164002013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13164002013 - 2¹⁴ = 13163985629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13164002053) 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 7 ways as a sum of consecutive naturals, for example, 266995 + ... + 312432.

It is an arithmetic number, because the mean of its divisors is an integer number (2194293836).

Almost surely, 2^13164002013 is an apocalyptic number.

It is an amenable number.

13164002013 is a deficient number, since it is larger than the sum of its proper divisors (4390348675).

13164002013 is an equidigital number, since it uses as much as digits as its factorization.

13164002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587003.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13164002013 its reverse (31020046131), we get a palindrome (44184048144).

The spelling of 13164002013 in words is "thirteen billion, one hundred sixty-four million, two thousand, thirteen".