13004001311 has 16 divisors (see below), whose sum is σ = 14906387520. Its totient is φ = 11112837120.

The previous prime is 13004001251. The next prime is 13004001319. The reversal of 13004001311 is 11310040031.

It is not a de Polignac number, because 13004001311 - 2²⁶ = 12936892447 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 (13004001319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4834655 + ... + 4837343.

It is an arithmetic number, because the mean of its divisors is an integer number (931649220).

Almost surely, 2^13004001311 is an apocalyptic number.

13004001311 is a deficient number, since it is larger than the sum of its proper divisors (1902386209).

13004001311 is a wasteful number, since it uses less digits than its factorization.

13004001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13004001311 its reverse (11310040031), we get a palindrome (24314041342).

The spelling of 13004001311 in words is "thirteen billion, four million, one thousand, three hundred eleven".