13007681 has 2 divisors, whose sum is σ = 13007682. Its totient is φ = 13007680.

The previous prime is 13007663. The next prime is 13007699. The reversal of 13007681 is 18670031.

13007681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13007663) and next prime (13007699).

It can be written as a sum of positive squares in only one way, i.e., 11022400 + 1985281 = 3320^2 + 1409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13007681 is a prime.

It is a super-2 number, since 2×13007681² = 338399529995522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13007681.

It is not a weakly prime, because it can be changed into another prime (13007611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503840 + 6503841.

It is an arithmetic number, because the mean of its divisors is an integer number (6503841).

Almost surely, 2^13007681 is an apocalyptic number.

It is an amenable number.

13007681 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007681 is an equidigital number, since it uses as much as digits as its factorization.

13007681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 13007681 is about 3606.6162812254. The cubic root of 13007681 is about 235.1797688897.

The spelling of 13007681 in words is "thirteen million, seven thousand, six hundred eighty-one".