10131101313233 has 2 divisors, whose sum is σ = 10131101313234. Its totient is φ = 10131101313232.

The previous prime is 10131101313199. The next prime is 10131101313253. The reversal of 10131101313233 is 33231310113101.

10131101313233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5286449395984 + 4844651917249 = 2299228^2 + 2201057^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131101313233 - 2³² = 10126806345937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131101313199 and 10131101313208.

It is not a weakly prime, because it can be changed into another prime (10131101313253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065550656616 + 5065550656617.

It is an arithmetic number, because the mean of its divisors is an integer number (5065550656617).

Almost surely, 2^{10131101313233} is an apocalyptic number.

It is an amenable number.

10131101313233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131101313233 is an equidigital number, since it uses as much as digits as its factorization.

10131101313233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 10131101313233 its reverse (33231310113101), we get a palindrome (43362411426334).

The spelling of 10131101313233 in words is "ten trillion, one hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, two hundred thirty-three".