135314241213 has 32 divisors (see below), whose sum is σ = 188052480000. Its totient is φ = 86450328000.

The previous prime is 135314241133. The next prime is 135314241241. The reversal of 135314241213 is 312142413531.

It is not a de Polignac number, because 135314241213 - 2¹² = 135314237117 is a prime.

It is a super-2 number, since 2×135314241213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135314242213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30398638 + ... + 30403088.

It is an arithmetic number, because the mean of its divisors is an integer number (5876640000).

Almost surely, 2^135314241213 is an apocalyptic number.

It is an amenable number.

135314241213 is a deficient number, since it is larger than the sum of its proper divisors (52738238787).

135314241213 is a wasteful number, since it uses less digits than its factorization.

135314241213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593.

The product of its digits is 8640, while the sum is 30.

Adding to 135314241213 its reverse (312142413531), we get a palindrome (447456654744).

The spelling of 135314241213 in words is "one hundred thirty-five billion, three hundred fourteen million, two hundred forty-one thousand, two hundred thirteen".