13135213 has 32 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 9616320.

The previous prime is 13135207. The next prime is 13135217. The reversal of 13135213 is 31253131.

It is not a de Polignac number, because 13135213 - 2⁵ = 13135181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135217) 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 in 31 ways as a sum of consecutive naturals, for example, 122706 + ... + 122812.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^13135213 is an apocalyptic number.

13135213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13135213 is a deficient number, since it is larger than the sum of its proper divisors (4283027).

13135213 is a wasteful number, since it uses less digits than its factorization.

13135213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

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

The square root of 13135213 is about 3624.2534403653. The cubic root of 13135213 is about 235.9458664022.

Adding to 13135213 its reverse (31253131), we get a palindrome (44388344).

It can be divided in two parts, 131 and 35213, that added together give a square (35344 = 188²).

The spelling of 13135213 in words is "thirteen million, one hundred thirty-five thousand, two hundred thirteen".