2014131013 has 2 divisors, whose sum is σ = 2014131014. Its totient is φ = 2014131012.

The previous prime is 2014130983. The next prime is 2014131017. The reversal of 2014131013 is 3101314102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1677885444 + 336245569 = 40962^2 + 18337^2 .

It is a cyclic number.

It is not a de Polignac number, because 2014131013 - 2¹⁷ = 2013999941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2014131017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007065506 + 1007065507.

It is an arithmetic number, because the mean of its divisors is an integer number (1007065507).

Almost surely, 2^2014131013 is an apocalyptic number.

It is an amenable number.

2014131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2014131013 is an equidigital number, since it uses as much as digits as its factorization.

2014131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2014131013 is about 44879.0709908305. The cubic root of 2014131013 is about 1262.8814154320.

Adding to 2014131013 its reverse (3101314102), we get a palindrome (5115445115).

The spelling of 2014131013 in words is "two billion, fourteen million, one hundred thirty-one thousand, thirteen".