13180753 has 2 divisors, whose sum is σ = 13180754. Its totient is φ = 13180752.

The previous prime is 13180711. The next prime is 13180757. The reversal of 13180753 is 35708131.

13180753 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., 8720209 + 4460544 = 2953^2 + 2112^2 .

It is a cyclic number.

It is not a de Polignac number, because 13180753 - 2⁹ = 13180241 is a prime.

It is a super-3 number, since 3×13180753³ (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13180757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6590376 + 6590377.

It is an arithmetic number, because the mean of its divisors is an integer number (6590377).

Almost surely, 2^13180753 is an apocalyptic number.

It is an amenable number.

13180753 is a deficient number, since it is larger than the sum of its proper divisors (1).

13180753 is an equidigital number, since it uses as much as digits as its factorization.

13180753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 13180753 is about 3630.5306774630. The cubic root of 13180753 is about 236.2182279530.

Adding to 13180753 its reverse (35708131), we get a palindrome (48888884).

The spelling of 13180753 in words is "thirteen million, one hundred eighty thousand, seven hundred fifty-three".