681000013 has 2 divisors, whose sum is σ = 681000014. Its totient is φ = 681000012.

The previous prime is 680999989. The next prime is 681000017. The reversal of 681000013 is 310000186.

681000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 587723049 + 93276964 = 24243^2 + 9658^2 .

It is a cyclic number.

It is not a de Polignac number, because 681000013 - 2⁵ = 680999981 is a prime.

It is a super-2 number, since 2×681000013² = 927522035412000338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (681000017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340500006 + 340500007.

It is an arithmetic number, because the mean of its divisors is an integer number (340500007).

Almost surely, 2^681000013 is an apocalyptic number.

It is an amenable number.

681000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

681000013 is an equidigital number, since it uses as much as digits as its factorization.

681000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 681000013 is about 26095.9769504803. The cubic root of 681000013 is about 879.7967906302.

Adding to 681000013 its reverse (310000186), we get a palindrome (991000199).

The spelling of 681000013 in words is "six hundred eighty-one million, thirteen", and thus it is an aban number.