4131041531117 has 2 divisors, whose sum is σ = 4131041531118. Its totient is φ = 4131041531116.

The previous prime is 4131041531059. The next prime is 4131041531173. The reversal of 4131041531117 is 7111351401314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3079502032201 + 1051539498916 = 1754851^2 + 1025446^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131041531117 - 2¹⁸ = 4131041268973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4131041533117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065520765558 + 2065520765559.

It is an arithmetic number, because the mean of its divisors is an integer number (2065520765559).

Almost surely, 2^{4131041531117} is an apocalyptic number.

It is an amenable number.

4131041531117 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131041531117 is an equidigital number, since it uses as much as digits as its factorization.

4131041531117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 4131041531117 in words is "four trillion, one hundred thirty-one billion, forty-one million, five hundred thirty-one thousand, one hundred seventeen".