313011029 has 2 divisors, whose sum is σ = 313011030. Its totient is φ = 313011028.

The previous prime is 313011001. The next prime is 313011031. The reversal of 313011029 is 920110313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243672100 + 69338929 = 15610^2 + 8327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313011029 is a prime.

Together with 313011031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313011029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313014029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505514 + 156505515.

It is an arithmetic number, because the mean of its divisors is an integer number (156505515).

Almost surely, 2^313011029 is an apocalyptic number.

It is an amenable number.

313011029 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011029 is an equidigital number, since it uses as much as digits as its factorization.

313011029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 313011029 is about 17692.1177081773. The cubic root of 313011029 is about 678.9741083291.

The spelling of 313011029 in words is "three hundred thirteen million, eleven thousand, twenty-nine".