10131241013 has 2 divisors, whose sum is σ = 10131241014. Its totient is φ = 10131241012.

The previous prime is 10131240953. The next prime is 10131241063. The reversal of 10131241013 is 31014213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9924542884 + 206698129 = 99622^2 + 14377^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131241013 - 2¹⁴ = 10131224629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10131240982 and 10131241000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131241063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065620506 + 5065620507.

It is an arithmetic number, because the mean of its divisors is an integer number (5065620507).

Almost surely, 2^10131241013 is an apocalyptic number.

It is an amenable number.

10131241013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131241013 is an equidigital number, since it uses as much as digits as its factorization.

10131241013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10131241013 its reverse (31014213101), we get a palindrome (41145454114).

The spelling of 10131241013 in words is "ten billion, one hundred thirty-one million, two hundred forty-one thousand, thirteen".