2013404404401 has 72 divisors (see below), whose sum is σ = 3218391895680. Its totient is φ = 1211820075648.

The previous prime is 2013404404393. The next prime is 2013404404421. The reversal of 2013404404401 is 1044044043102.

It is not a de Polignac number, because 2013404404401 - 2³ = 2013404404393 is a prime.

It is a super-2 number, since 2×2013404404401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013404404421) 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 71 ways as a sum of consecutive naturals, for example, 112869055 + ... + 112886891.

It is an arithmetic number, because the mean of its divisors is an integer number (44699887440).

Almost surely, 2^{2013404404401} is an apocalyptic number.

It is an amenable number.

2013404404401 is a deficient number, since it is larger than the sum of its proper divisors (1204987491279).

2013404404401 is a wasteful number, since it uses less digits than its factorization.

2013404404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19495 (or 19479 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2013404404401 its reverse (1044044043102), we get a palindrome (3057448447503).

The spelling of 2013404404401 in words is "two trillion, thirteen billion, four hundred four million, four hundred four thousand, four hundred one".