2014131001 has 16 divisors (see below), whose sum is σ = 2109326800. Its totient is φ = 1921294080.

The previous prime is 2014130983. The next prime is 2014131013. The reversal of 2014131001 is 1001314102.

It can be written as a sum of positive squares in 8 ways, for example, as 275625 + 2013855376 = 525^2 + 44876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2014131001 - 2⁵ = 2014130969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2014131071) 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, 786415 + ... + 788971.

It is an arithmetic number, because the mean of its divisors is an integer number (131832925).

Almost surely, 2^2014131001 is an apocalyptic number.

It is an amenable number.

2014131001 is a deficient number, since it is larger than the sum of its proper divisors (95195799).

2014131001 is a wasteful number, since it uses less digits than its factorization.

2014131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2014131001 is about 44879.0708571379. The cubic root of 2014131001 is about 1262.8814129239.

Adding to 2014131001 its reverse (1001314102), we get a palindrome (3015445103).

The spelling of 2014131001 in words is "two billion, fourteen million, one hundred thirty-one thousand, one".