10131315246581 has 2 divisors, whose sum is σ = 10131315246582. Its totient is φ = 10131315246580.

The previous prime is 10131315246517. The next prime is 10131315246631. The reversal of 10131315246581 is 18564251313101.

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., 5915134731025 + 4216180515556 = 2432105^2 + 2053334^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131315246581 - 2⁶ = 10131315246517 is a prime.

It is a super-2 number, since 2×10131315246581² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131315246181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065657623290 + 5065657623291.

It is an arithmetic number, because the mean of its divisors is an integer number (5065657623291).

Almost surely, 2^{10131315246581} is an apocalyptic number.

It is an amenable number.

10131315246581 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131315246581 is an equidigital number, since it uses as much as digits as its factorization.

10131315246581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 41.

Adding to 10131315246581 its reverse (18564251313101), we get a palindrome (28695566559682).

The spelling of 10131315246581 in words is "ten trillion, one hundred thirty-one billion, three hundred fifteen million, two hundred forty-six thousand, five hundred eighty-one".