135305336015213 has 16 divisors (see below), whose sum is σ = 166558948085376. Its totient is φ = 107035933222080.

The previous prime is 135305336015141. The next prime is 135305336015251. The reversal of 135305336015213 is 312510633503531.

It is a cyclic number.

It is not a de Polignac number, because 135305336015213 - 2¹⁶ = 135305335949677 is a prime.

It is a super-3 number, since 3×135305336015213³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135305336015273) 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, 130300358 + ... + 131334663.

It is an arithmetic number, because the mean of its divisors is an integer number (10409934255336).

Almost surely, 2^{135305336015213} is an apocalyptic number.

135305336015213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135305336015213 is a deficient number, since it is larger than the sum of its proper divisors (31253612070163).

135305336015213 is a wasteful number, since it uses less digits than its factorization.

135305336015213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261640724.

The product of its (nonzero) digits is 364500, while the sum is 41.

Adding to 135305336015213 its reverse (312510633503531), we get a palindrome (447815969518744).

The spelling of 135305336015213 in words is "one hundred thirty-five trillion, three hundred five billion, three hundred thirty-six million, fifteen thousand, two hundred thirteen".