101115241313 has 2 divisors, whose sum is σ = 101115241314. Its totient is φ = 101115241312.

The previous prime is 101115241267. The next prime is 101115241319. The reversal of 101115241313 is 313142511101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78588833569 + 22526407744 = 280337^2 + 150088^2 .

It is a cyclic number.

It is not a de Polignac number, because 101115241313 - 2¹² = 101115237217 is a prime.

It is not a weakly prime, because it can be changed into another prime (101115241319) 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, 50557620656 + 50557620657.

It is an arithmetic number, because the mean of its divisors is an integer number (50557620657).

Almost surely, 2^101115241313 is an apocalyptic number.

It is an amenable number.

101115241313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101115241313 is an equidigital number, since it uses as much as digits as its factorization.

101115241313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 101115241313 its reverse (313142511101), we get a palindrome (414257752414).

The spelling of 101115241313 in words is "one hundred one billion, one hundred fifteen million, two hundred forty-one thousand, three hundred thirteen".