2013110413 has 2 divisors, whose sum is σ = 2013110414. Its totient is φ = 2013110412.

The previous prime is 2013110389. The next prime is 2013110431. The reversal of 2013110413 is 3140113102.

Together with next prime (2013110431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1183497604 + 829612809 = 34402^2 + 28803^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013110413 - 2⁵ = 2013110381 is a prime.

It is a super-2 number, since 2×2013110413² = 8105227069858061138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013110453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006555206 + 1006555207.

It is an arithmetic number, because the mean of its divisors is an integer number (1006555207).

Almost surely, 2^2013110413 is an apocalyptic number.

It is an amenable number.

2013110413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013110413 is an equidigital number, since it uses as much as digits as its factorization.

2013110413 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2013110413 is about 44867.6989938196. The cubic root of 2013110413 is about 1262.6680703998.

Adding to 2013110413 its reverse (3140113102), we get a palindrome (5153223515).

The spelling of 2013110413 in words is "two billion, thirteen million, one hundred ten thousand, four hundred thirteen".