101011231313 has 2 divisors, whose sum is σ = 101011231314. Its totient is φ = 101011231312.

The previous prime is 101011231291. The next prime is 101011231331. The reversal of 101011231313 is 313132110101.

Together with next prime (101011231331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93919570369 + 7091660944 = 306463^2 + 84212^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011231313 - 2¹⁰ = 101011230289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101011231291 and 101011231300.

It is not a weakly prime, because it can be changed into another prime (101011231333) 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, 50505615656 + 50505615657.

It is an arithmetic number, because the mean of its divisors is an integer number (50505615657).

Almost surely, 2^101011231313 is an apocalyptic number.

It is an amenable number.

101011231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011231313 is an equidigital number, since it uses as much as digits as its factorization.

101011231313 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 17.

Adding to 101011231313 its reverse (313132110101), we get a palindrome (414143341414).

The spelling of 101011231313 in words is "one hundred one billion, eleven million, two hundred thirty-one thousand, three hundred thirteen".