135306513121131 has 24 divisors (see below), whose sum is σ = 213327219096576. Its totient is φ = 81958964270640.

The previous prime is 135306513121123. The next prime is 135306513121177. The reversal of 135306513121131 is 131121315603531.

135306513121131 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 6 + 513 + 1 + 2 + 1 + 131 = 666.

It is not a de Polignac number, because 135306513121131 - 2³ = 135306513121123 is a prime.

It is a super-2 number, since 2×135306513121131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135306513125131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374677575 + ... + 375038528.

It is an arithmetic number, because the mean of its divisors is an integer number (8888634129024).

Almost surely, 2^{135306513121131} is an apocalyptic number.

135306513121131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135306513121131 is a deficient number, since it is larger than the sum of its proper divisors (78020705975445).

135306513121131 is a wasteful number, since it uses less digits than its factorization.

135306513121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749717943 (or 749717940 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

Adding to 135306513121131 its reverse (131121315603531), we get a palindrome (266427828724662).

The spelling of 135306513121131 in words is "one hundred thirty-five trillion, three hundred six billion, five hundred thirteen million, one hundred twenty-one thousand, one hundred thirty-one".