2011310729 has 2 divisors, whose sum is σ = 2011310730. Its totient is φ = 2011310728.

The previous prime is 2011310701. The next prime is 2011310731. The reversal of 2011310729 is 9270131102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1958239504 + 53071225 = 44252^2 + 7285^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011310729 - 2¹⁶ = 2011245193 is a prime.

It is a super-2 number, since 2×2011310729² = 8090741697181022882, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2011310731, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011310698 and 2011310707.

It is not a weakly prime, because it can be changed into another prime (2011310129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005655364 + 1005655365.

It is an arithmetic number, because the mean of its divisors is an integer number (1005655365).

Almost surely, 2^2011310729 is an apocalyptic number.

It is an amenable number.

2011310729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011310729 is an equidigital number, since it uses as much as digits as its factorization.

2011310729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 2011310729 is about 44847.6390571455. The cubic root of 2011310729 is about 1262.2916908087.

The spelling of 2011310729 in words is "two billion, eleven million, three hundred ten thousand, seven hundred twenty-nine".