10411131013 has 2 divisors, whose sum is σ = 10411131014. Its totient is φ = 10411131012.

The previous prime is 10411131011. The next prime is 10411131097. The reversal of 10411131013 is 31013111401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8336055204 + 2075075809 = 91302^2 + 45553^2 .

It is a cyclic number.

It is not a de Polignac number, because 10411131013 - 2¹ = 10411131011 is a prime.

Together with 10411131011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10411131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5205565506 + 5205565507.

It is an arithmetic number, because the mean of its divisors is an integer number (5205565507).

Almost surely, 2^10411131013 is an apocalyptic number.

It is an amenable number.

10411131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10411131013 is an equidigital number, since it uses as much as digits as its factorization.

10411131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10411131013 its reverse (31013111401), we get a palindrome (41424242414).

The spelling of 10411131013 in words is "ten billion, four hundred eleven million, one hundred thirty-one thousand, thirteen".