313100102120129 has 2 divisors, whose sum is σ = 313100102120130. Its totient is φ = 313100102120128.

The previous prime is 313100102120093. The next prime is 313100102120189. The reversal of 313100102120129 is 921021201001313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271916142414400 + 41183959705729 = 16489880^2 + 6417473^2 .

It is a cyclic number.

It is not a de Polignac number, because 313100102120129 - 2⁸ = 313100102119873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313100102120098 and 313100102120107.

It is not a weakly prime, because it can be changed into another prime (313100102120189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156550051060064 + 156550051060065.

It is an arithmetic number, because the mean of its divisors is an integer number (156550051060065).

Almost surely, 2^{313100102120129} is an apocalyptic number.

It is an amenable number.

313100102120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

313100102120129 is an equidigital number, since it uses as much as digits as its factorization.

313100102120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 313100102120129 in words is "three hundred thirteen trillion, one hundred billion, one hundred two million, one hundred twenty thousand, one hundred twenty-nine".