10101313231 has 2 divisors, whose sum is σ = 10101313232. Its totient is φ = 10101313230.

The previous prime is 10101313219. The next prime is 10101313237. The reversal of 10101313231 is 13231310101.

It is a strong prime.

It is an emirp because it is prime and its reverse (13231310101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101313231 - 2⁵ = 10101313199 is a prime.

It is a super-2 number, since 2×10101313231² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101313237) 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, 5050656615 + 5050656616.

It is an arithmetic number, because the mean of its divisors is an integer number (5050656616).

Almost surely, 2^10101313231 is an apocalyptic number.

10101313231 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101313231 is an equidigital number, since it uses as much as digits as its factorization.

10101313231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10101313231 its reverse (13231310101), we get a palindrome (23332623332).

It can be divided in two parts, 101013 and 13231, that added together give a square (114244 = 338²).

The spelling of 10101313231 in words is "ten billion, one hundred one million, three hundred thirteen thousand, two hundred thirty-one".