4113631013 has 2 divisors, whose sum is σ = 4113631014. Its totient is φ = 4113631012.

The previous prime is 4113630971. The next prime is 4113631019. The reversal of 4113631013 is 3101363114.

4113631013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3440643649 + 672987364 = 58657^2 + 25942^2 .

It is a cyclic number.

It is not a de Polignac number, because 4113631013 - 2⁶ = 4113630949 is a prime.

It is a super-2 number, since 2×4113631013² = 33843920222230812338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4113631013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4113631019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2056815506 + 2056815507.

It is an arithmetic number, because the mean of its divisors is an integer number (2056815507).

Almost surely, 2^4113631013 is an apocalyptic number.

It is an amenable number.

4113631013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113631013 is an equidigital number, since it uses as much as digits as its factorization.

4113631013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 4113631013 is about 64137.5943811428. The cubic root of 4113631013 is about 1602.2924187592.

Adding to 4113631013 its reverse (3101363114), we get a palindrome (7214994127).

The spelling of 4113631013 in words is "four billion, one hundred thirteen million, six hundred thirty-one thousand, thirteen".