2013314401 has 6 divisors (see below), whose sum is σ = 2342018850. Its totient is φ = 1725698016.

The previous prime is 2013314399. The next prime is 2013314449. The reversal of 2013314401 is 1044133102.

It can be written as a sum of positive squares in only one way, i.e., 1465052176 + 548262225 = 38276^2 + 23415^2 .

It is not a de Polignac number, because 2013314401 - 2¹ = 2013314399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013314101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20543976 + ... + 20544073.

It is an arithmetic number, because the mean of its divisors is an integer number (390336475).

Almost surely, 2^2013314401 is an apocalyptic number.

It is an amenable number.

2013314401 is a deficient number, since it is larger than the sum of its proper divisors (328704449).

2013314401 is an equidigital number, since it uses as much as digits as its factorization.

2013314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41088063 (or 41088056 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2013314401 is about 44869.9721528775. The cubic root of 2013314401 is about 1262.7107175780.

Adding to 2013314401 its reverse (1044133102), we get a palindrome (3057447503).

The spelling of 2013314401 in words is "two billion, thirteen million, three hundred fourteen thousand, four hundred one".