135310530310020 has 72 divisors (see below), whose sum is σ = 442014399020376. Its totient is φ = 33307207460352.

The previous prime is 135310530310009. The next prime is 135310530310031. The reversal of 135310530310020 is 20013035013531.

135310530310020 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 0 + 530 + 3 + 100 + 20 = 666.

135310530310020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135310530310009) and next prime (135310530310031).

It can be written as a sum of positive squares in 4 ways, for example, as 58142712384 + 135252387597636 = 241128^2 + 11629806^2 .

It is a super-2 number, since 2×135310530310020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28912504137 + ... + 28912508816.

It is an arithmetic number, because the mean of its divisors is an integer number (6139088875283).

Almost surely, 2^{135310530310020} is an apocalyptic number.

135310530310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135310530310020 is an abundant number, since it is smaller than the sum of its proper divisors (306703868710356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135310530310020 is a wasteful number, since it uses less digits than its factorization.

135310530310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57825012981 (or 57825012976 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 135310530310020 its reverse (20013035013531), we get a palindrome (155323565323551).

The spelling of 135310530310020 in words is "one hundred thirty-five trillion, three hundred ten billion, five hundred thirty million, three hundred ten thousand, twenty".