10131101333 has 2 divisors, whose sum is σ = 10131101334. Its totient is φ = 10131101332.

The previous prime is 10131101303. The next prime is 10131101347. The reversal of 10131101333 is 33310113101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10128812164 + 2289169 = 100642^2 + 1513^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131101333 - 2¹⁴ = 10131084949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131101303) 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, 5065550666 + 5065550667.

It is an arithmetic number, because the mean of its divisors is an integer number (5065550667).

Almost surely, 2^10131101333 is an apocalyptic number.

It is an amenable number.

10131101333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131101333 is an equidigital number, since it uses as much as digits as its factorization.

10131101333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10131101333 its reverse (33310113101), we get a palindrome (43441214434).

The spelling of 10131101333 in words is "ten billion, one hundred thirty-one million, one hundred one thousand, three hundred thirty-three".