10131123381257 has 2 divisors, whose sum is σ = 10131123381258. Its totient is φ = 10131123381256.

The previous prime is 10131123381209. The next prime is 10131123381259. The reversal of 10131123381257 is 75218332113101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9917139424201 + 213983957056 = 3149149^2 + 462584^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131123381257 - 2²⁴ = 10131106604041 is a prime.

Together with 10131123381259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131123381257.

It is not a weakly prime, because it can be changed into another prime (10131123381259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065561690628 + 5065561690629.

It is an arithmetic number, because the mean of its divisors is an integer number (5065561690629).

Almost surely, 2^{10131123381257} is an apocalyptic number.

It is an amenable number.

10131123381257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131123381257 is an equidigital number, since it uses as much as digits as its factorization.

10131123381257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 38.

Adding to 10131123381257 its reverse (75218332113101), we get a palindrome (85349455494358).

The spelling of 10131123381257 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-three million, three hundred eighty-one thousand, two hundred fifty-seven".