13213153 has 2 divisors, whose sum is σ = 13213154. Its totient is φ = 13213152.

The previous prime is 13213139. The next prime is 13213159. The reversal of 13213153 is 35131231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 5987809 = 2688^2 + 2447^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213153 - 2⁵ = 13213121 is a prime.

It is equal to p₈₆₂₂₀₁ and since 13213153 and 862201 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13213153.

It is not a weakly prime, because it can be changed into another prime (13213159) 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, 6606576 + 6606577.

It is an arithmetic number, because the mean of its divisors is an integer number (6606577).

Almost surely, 2^13213153 is an apocalyptic number.

It is an amenable number.

13213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213153 is an equidigital number, since it uses as much as digits as its factorization.

13213153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 19.

The square root of 13213153 is about 3634.9900962726. The cubic root of 13213153 is about 236.4116212556.

Adding to 13213153 its reverse (35131231), we get a palindrome (48344384).

It can be divided in two parts, 13213 and 153, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 13213153 in words is "thirteen million, two hundred thirteen thousand, one hundred fifty-three".