135375413083101 has 64 divisors (see below), whose sum is σ = 203170153824000. Its totient is φ = 89082456203520.

The previous prime is 135375413083081. The next prime is 135375413083117. The reversal of 135375413083101 is 101380314573531.

It is a happy number.

135375413083101 is a `hidden beast` number, since 1 + 3 + 53 + 7 + 5 + 413 + 0 + 83 + 101 = 666.

It is not a de Polignac number, because 135375413083101 - 2²¹ = 135375410985949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135375413083121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583124635 + ... + 583356743.

It is an arithmetic number, because the mean of its divisors is an integer number (3174533653500).

Almost surely, 2^{135375413083101} is an apocalyptic number.

It is an amenable number.

135375413083101 is a deficient number, since it is larger than the sum of its proper divisors (67794740740899).

135375413083101 is a wasteful number, since it uses less digits than its factorization.

135375413083101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233131 (or 233125 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 135375413083101 in words is "one hundred thirty-five trillion, three hundred seventy-five billion, four hundred thirteen million, eighty-three thousand, one hundred one".