135013121265056 has 24 divisors (see below), whose sum is σ = 267343539625764. Its totient is φ = 67116349296640.

The previous prime is 135013121265049. The next prime is 135013121265059. The reversal of 135013121265056 is 650562121310531.

It can be written as a sum of positive squares in 2 ways, for example, as 95954171184400 + 39058950080656 = 9795620^2 + 6249716^2 .

It is not an unprimeable number, because it can be changed into a prime (135013121265059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12194098625 + ... + 12194109696.

Almost surely, 2^{135013121265056} is an apocalyptic number.

135013121265056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135013121265056 is a deficient number, since it is larger than the sum of its proper divisors (132330418360708).

135013121265056 is a wasteful number, since it uses less digits than its factorization.

135013121265056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24388208504 (or 24388208496 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

Adding to 135013121265056 its reverse (650562121310531), we get a palindrome (785575242575587).

The spelling of 135013121265056 in words is "one hundred thirty-five trillion, thirteen billion, one hundred twenty-one million, two hundred sixty-five thousand, fifty-six".