101320320313129 has 2 divisors, whose sum is σ = 101320320313130. Its totient is φ = 101320320313128.

The previous prime is 101320320313109. The next prime is 101320320313139. The reversal of 101320320313129 is 921313023023101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95733015705625 + 5587304607504 = 9784325^2 + 2363748^2 .

It is a cyclic number.

It is not a de Polignac number, because 101320320313129 - 2²⁹ = 101319783442217 is a prime.

It is a super-2 number, since 2×101320320313129² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101320320313129.

It is not a weakly prime, because it can be changed into another prime (101320320313109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660160156564 + 50660160156565.

It is an arithmetic number, because the mean of its divisors is an integer number (50660160156565).

Almost surely, 2^{101320320313129} is an apocalyptic number.

It is an amenable number.

101320320313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320320313129 is an equidigital number, since it uses as much as digits as its factorization.

101320320313129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 101320320313129 in words is "one hundred one trillion, three hundred twenty billion, three hundred twenty million, three hundred thirteen thousand, one hundred twenty-nine".