101113021333013 has 2 divisors, whose sum is σ = 101113021333014. Its totient is φ = 101113021333012.

The previous prime is 101113021333003. The next prime is 101113021333127. The reversal of 101113021333013 is 310333120311101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100997816754289 + 115204578724 = 10049767^2 + 339418^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113021333013 - 2³⁴ = 101095841463829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101113021333013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101113021333003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556510666506 + 50556510666507.

It is an arithmetic number, because the mean of its divisors is an integer number (50556510666507).

Almost surely, 2^{101113021333013} is an apocalyptic number.

It is an amenable number.

101113021333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113021333013 is an equidigital number, since it uses as much as digits as its factorization.

101113021333013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101113021333013 its reverse (310333120311101), we get a palindrome (411446141644114).

The spelling of 101113021333013 in words is "one hundred one trillion, one hundred thirteen billion, twenty-one million, three hundred thirty-three thousand, thirteen".