135173313 has 32 divisors (see below), whose sum is σ = 219156480. Its totient is φ = 81663120.

The previous prime is 135173309. The next prime is 135173327. The reversal of 135173313 is 313371531.

It is not a de Polignac number, because 135173313 - 2² = 135173309 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135173303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137020 + ... + 138002.

It is an arithmetic number, because the mean of its divisors is an integer number (6848640).

Almost surely, 2^135173313 is an apocalyptic number.

It is an amenable number.

135173313 is a deficient number, since it is larger than the sum of its proper divisors (83983167).

135173313 is a wasteful number, since it uses less digits than its factorization.

135173313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 135173313 is about 11626.4058504767. The cubic root of 135173313 is about 513.2122168392.

The spelling of 135173313 in words is "one hundred thirty-five million, one hundred seventy-three thousand, three hundred thirteen".