1135171335141 has 8 divisors (see below), whose sum is σ = 1681735311360. Its totient is φ = 756780890076.

The previous prime is 1135171335127. The next prime is 1135171335161. The reversal of 1135171335141 is 1415331715311.

1135171335141 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 1 + 7 + 133 + 514 + 1 = 666.

It is not a de Polignac number, because 1135171335141 - 2⁷ = 1135171335013 is a prime.

It is a super-3 number, since 3×1135171335141³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1135171335096 and 1135171335105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135171335161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21021691365 + ... + 21021691418.

It is an arithmetic number, because the mean of its divisors is an integer number (210216913920).

Almost surely, 2^{1135171335141} is an apocalyptic number.

It is an amenable number.

1135171335141 is a deficient number, since it is larger than the sum of its proper divisors (546563976219).

1135171335141 is an equidigital number, since it uses as much as digits as its factorization.

1135171335141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42043382792 (or 42043382786 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The spelling of 1135171335141 in words is "one trillion, one hundred thirty-five billion, one hundred seventy-one million, three hundred thirty-five thousand, one hundred forty-one".