101113303129 has 2 divisors, whose sum is σ = 101113303130. Its totient is φ = 101113303128.

The previous prime is 101113303099. The next prime is 101113303199. The reversal of 101113303129 is 921303311101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72010649104 + 29102654025 = 268348^2 + 170595^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113303129 - 2¹⁹ = 101112778841 is a prime.

It is not a weakly prime, because it can be changed into another prime (101113303199) 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, 50556651564 + 50556651565.

It is an arithmetic number, because the mean of its divisors is an integer number (50556651565).

Almost surely, 2^101113303129 is an apocalyptic number.

It is an amenable number.

101113303129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113303129 is an equidigital number, since it uses as much as digits as its factorization.

101113303129 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 25.

The spelling of 101113303129 in words is "one hundred one billion, one hundred thirteen million, three hundred three thousand, one hundred twenty-nine".