135314382213 has 12 divisors (see below), whose sum is σ = 197650222380. Its totient is φ = 89195996736.

The previous prime is 135314382211. The next prime is 135314382311. The reversal of 135314382213 is 312283413531.

135314382213 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 438 + 2 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13497327684 + 121817054529 = 116178^2 + 349023^2 .

It is not a de Polignac number, because 135314382213 - 2¹ = 135314382211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135314382211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84465106 + ... + 84466707.

It is an arithmetic number, because the mean of its divisors is an integer number (16470851865).

Almost surely, 2^135314382213 is an apocalyptic number.

It is an amenable number.

135314382213 is a deficient number, since it is larger than the sum of its proper divisors (62335840167).

135314382213 is a wasteful number, since it uses less digits than its factorization.

135314382213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168931908 (or 168931905 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 135314382213 its reverse (312283413531), we get a palindrome (447597795744).

It can be divided in two parts, 1353 and 14382213, that added together give a triangular number (14383566 = T₅₃₆₃).

The spelling of 135314382213 in words is "one hundred thirty-five billion, three hundred fourteen million, three hundred eighty-two thousand, two hundred thirteen".