13000753 has 2 divisors, whose sum is σ = 13000754. Its totient is φ = 13000752.

The previous prime is 13000751. The next prime is 13000781. The reversal of 13000753 is 35700031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10284849 + 2715904 = 3207^2 + 1648^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000753 - 2¹ = 13000751 is a prime.

It is a super-3 number, since 3×13000753³ (a number of 22 digits) contains 333 as substring.

Together with 13000751, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13000753.

It is not a weakly prime, because it can be changed into another prime (13000751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500376 + 6500377.

It is an arithmetic number, because the mean of its divisors is an integer number (6500377).

Almost surely, 2^13000753 is an apocalyptic number.

It is an amenable number.

13000753 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000753 is an equidigital number, since it uses as much as digits as its factorization.

13000753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 13000753 is about 3605.6556962639. The cubic root of 13000753 is about 235.1380085691.

Adding to 13000753 its reverse (35700031), we get a palindrome (48700784).

It can be divided in two parts, 1300075 and 3, that added together give a triangular number (1300078 = T₁₆₁₂).

The spelling of 13000753 in words is "thirteen million, seven hundred fifty-three", and thus it is an aban number.