135042620013 has 48 divisors (see below), whose sum is σ = 233131167360. Its totient is φ = 77033037312.

The previous prime is 135042619937. The next prime is 135042620047. The reversal of 135042620013 is 310026240531.

135042620013 is a `hidden beast` number, since 1 + 35 + 0 + 4 + 2 + 620 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 135042620013 - 2³³ = 126452685421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135042720013) 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, 674920 + ... + 851822.

It is an arithmetic number, because the mean of its divisors is an integer number (4856899320).

Almost surely, 2^135042620013 is an apocalyptic number.

It is an amenable number.

135042620013 is a deficient number, since it is larger than the sum of its proper divisors (98088547347).

135042620013 is a wasteful number, since it uses less digits than its factorization.

135042620013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177503 (or 177490 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 135042620013 its reverse (310026240531), we get a palindrome (445068860544).

The spelling of 135042620013 in words is "one hundred thirty-five billion, forty-two million, six hundred twenty thousand, thirteen".