101322130311013 has 2 divisors, whose sum is σ = 101322130311014. Its totient is φ = 101322130311012.

The previous prime is 101322130310977. The next prime is 101322130311043. The reversal of 101322130311013 is 310113031223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90010625936449 + 11311504374564 = 9487393^2 + 3363258^2 .

It is an emirp because it is prime and its reverse (310113031223101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101322130311013 - 2²¹ = 101322128213861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101322130311043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661065155506 + 50661065155507.

It is an arithmetic number, because the mean of its divisors is an integer number (50661065155507).

Almost surely, 2^{101322130311013} is an apocalyptic number.

It is an amenable number.

101322130311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322130311013 is an equidigital number, since it uses as much as digits as its factorization.

101322130311013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101322130311013 its reverse (310113031223101), we get a palindrome (411435161534114).

The spelling of 101322130311013 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty million, three hundred eleven thousand, thirteen".