13681033 has 2 divisors, whose sum is σ = 13681034. Its totient is φ = 13681032.

The previous prime is 13680949. The next prime is 13681037. The reversal of 13681033 is 33018631.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13053769 + 627264 = 3613^2 + 792^2 .

It is an emirp because it is prime and its reverse (33018631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13681033 - 2¹⁷ = 13549961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13680989 and 13681007.

It is not a weakly prime, because it can be changed into another prime (13681037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6840516 + 6840517.

It is an arithmetic number, because the mean of its divisors is an integer number (6840517).

Almost surely, 2^13681033 is an apocalyptic number.

It is an amenable number.

13681033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13681033 is an equidigital number, since it uses as much as digits as its factorization.

13681033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13681033 is about 3698.7880447520. The cubic root of 13681033 is about 239.1697760215.

Adding to 13681033 its reverse (33018631), we get a palindrome (46699664).

It can be divided in two parts, 1368 and 1033, that added together give a 4-th power (2401 = 7⁴).

The spelling of 13681033 in words is "thirteen million, six hundred eighty-one thousand, thirty-three".