101301331129 has 2 divisors, whose sum is σ = 101301331130. Its totient is φ = 101301331128.

The previous prime is 101301331111. The next prime is 101301331151. The reversal of 101301331129 is 921133103101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100476320400 + 825010729 = 316980^2 + 28723^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101301331129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101301331829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50650665564 + 50650665565.

It is an arithmetic number, because the mean of its divisors is an integer number (50650665565).

Almost surely, 2^101301331129 is an apocalyptic number.

It is an amenable number.

101301331129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101301331129 is an equidigital number, since it uses as much as digits as its factorization.

101301331129 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 101301331129 in words is "one hundred one billion, three hundred one million, three hundred thirty-one thousand, one hundred twenty-nine".