135013221 has 48 divisors (see below), whose sum is σ = 236496000. Its totient is φ = 72503424.

The previous prime is 135013213. The next prime is 135013237. The reversal of 135013221 is 122310531.

It is not a de Polignac number, because 135013221 - 2³ = 135013213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135013194 and 135013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135013271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177975 + ... + 178731.

It is an arithmetic number, because the mean of its divisors is an integer number (4927000).

Almost surely, 2^135013221 is an apocalyptic number.

It is an amenable number.

135013221 is a deficient number, since it is larger than the sum of its proper divisors (101482779).

135013221 is a wasteful number, since it uses less digits than its factorization.

135013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135013221 is about 11619.5189659469. The cubic root of 135013221 is about 513.0095298208.

Adding to 135013221 its reverse (122310531), we get a palindrome (257323752).

The spelling of 135013221 in words is "one hundred thirty-five million, thirteen thousand, two hundred twenty-one".