10735013 has 2 divisors, whose sum is σ = 10735014. Its totient is φ = 10735012.

The previous prime is 10735001. The next prime is 10735027. The reversal of 10735013 is 31053701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6666724 + 4068289 = 2582^2 + 2017^2 .

It is a cyclic number.

It is not a de Polignac number, because 10735013 - 2¹² = 10730917 is a prime.

It is a super-2 number, since 2×10735013² = 230481008220338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10735033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367506 + 5367507.

It is an arithmetic number, because the mean of its divisors is an integer number (5367507).

Almost surely, 2^10735013 is an apocalyptic number.

It is an amenable number.

10735013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10735013 is an equidigital number, since it uses as much as digits as its factorization.

10735013 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 20.

The square root of 10735013 is about 3276.4329689466. The cubic root of 10735013 is about 220.5976381093.

Adding to 10735013 its reverse (31053701), we get a palindrome (41788714).

The spelling of 10735013 in words is "ten million, seven hundred thirty-five thousand, thirteen".