10131310000241 has 2 divisors, whose sum is σ = 10131310000242. Its totient is φ = 10131310000240.

The previous prime is 10131310000211. The next prime is 10131310000267. The reversal of 10131310000241 is 14200001313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6595029750241 + 3536280250000 = 2568079^2 + 1880500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131310000241 - 2¹⁴ = 10131309983857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131310000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065655000120 + 5065655000121.

It is an arithmetic number, because the mean of its divisors is an integer number (5065655000121).

Almost surely, 2^{10131310000241} is an apocalyptic number.

It is an amenable number.

10131310000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131310000241 is an equidigital number, since it uses as much as digits as its factorization.

10131310000241 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10131310000241 its reverse (14200001313101), we get a palindrome (24331311313342).

The spelling of 10131310000241 in words is "ten trillion, one hundred thirty-one billion, three hundred ten million, two hundred forty-one", and thus it is an aban number.