135413213 has 16 divisors (see below), whose sum is σ = 152656896. Its totient is φ = 119180160.

The previous prime is 135413203. The next prime is 135413219. The reversal of 135413213 is 312314531.

135413213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 135413213 - 2⁸ = 135412957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135413219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136148 + ... + 137138.

It is an arithmetic number, because the mean of its divisors is an integer number (9541056).

Almost surely, 2^135413213 is an apocalyptic number.

135413213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135413213 is a deficient number, since it is larger than the sum of its proper divisors (17243683).

135413213 is a wasteful number, since it uses less digits than its factorization.

135413213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484.

The product of its digits is 1080, while the sum is 23.

The square root of 135413213 is about 11636.7183088704. The cubic root of 135413213 is about 513.5156466705.

Adding to 135413213 its reverse (312314531), we get a palindrome (447727744).

The spelling of 135413213 in words is "one hundred thirty-five million, four hundred thirteen thousand, two hundred thirteen".