4131040117 has 2 divisors, whose sum is σ = 4131040118. Its totient is φ = 4131040116.

The previous prime is 4131040091. The next prime is 4131040153. The reversal of 4131040117 is 7110401314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3815409361 + 315630756 = 61769^2 + 17766^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131040117 - 2²³ = 4122651509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4131040217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065520058 + 2065520059.

It is an arithmetic number, because the mean of its divisors is an integer number (2065520059).

Almost surely, 2^4131040117 is an apocalyptic number.

It is an amenable number.

4131040117 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131040117 is an equidigital number, since it uses as much as digits as its factorization.

4131040117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 4131040117 is about 64273.1679396620. The cubic root of 4131040117 is about 1604.5495663763.

The spelling of 4131040117 in words is "four billion, one hundred thirty-one million, forty thousand, one hundred seventeen".