313012000321289 has 2 divisors, whose sum is σ = 313012000321290. Its totient is φ = 313012000321288.

The previous prime is 313012000321171. The next prime is 313012000321309. The reversal of 313012000321289 is 982123000210313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193765425601225 + 119246574720064 = 13919965^2 + 10920008^2 .

It is a cyclic number.

It is not a de Polignac number, because 313012000321289 - 2³⁶ = 312943280844553 is a prime.

It is not a weakly prime, because it can be changed into another prime (313012000323289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156506000160644 + 156506000160645.

It is an arithmetic number, because the mean of its divisors is an integer number (156506000160645).

Almost surely, 2^{313012000321289} is an apocalyptic number.

It is an amenable number.

313012000321289 is a deficient number, since it is larger than the sum of its proper divisors (1).

313012000321289 is an equidigital number, since it uses as much as digits as its factorization.

313012000321289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 313012000321289 in words is "three hundred thirteen trillion, twelve billion, three hundred twenty-one thousand, two hundred eighty-nine".