13004401314 has 32 divisors (see below), whose sum is σ = 26410620096. Its totient is φ = 4267897920.

The previous prime is 13004401307. The next prime is 13004401331. The reversal of 13004401314 is 41310440031.

13004401314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13004401314² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 892044 + ... + 906504.

It is an arithmetic number, because the mean of its divisors is an integer number (825331878).

Almost surely, 2^13004401314 is an apocalyptic number.

13004401314 is an abundant number, since it is smaller than the sum of its proper divisors (13406218782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13004401314 is a wasteful number, since it uses less digits than its factorization.

13004401314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16770.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13004401314 its reverse (41310440031), we get a palindrome (54314841345).

The spelling of 13004401314 in words is "thirteen billion, four million, four hundred one thousand, three hundred fourteen".