135317931 has 16 divisors (see below), whose sum is σ = 206400000. Its totient is φ = 77249088.

The previous prime is 135317927. The next prime is 135317933. The reversal of 135317931 is 139713531.

It is not a de Polignac number, because 135317931 - 2² = 135317927 is a prime.

It is a super-3 number, since 3×135317931³ (a number of 25 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 = 135317892 and 135317901.

It is not an unprimeable number, because it can be changed into a prime (135317933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24570 + ... + 29568.

It is an arithmetic number, because the mean of its divisors is an integer number (12900000).

Almost surely, 2^135317931 is an apocalyptic number.

135317931 is a deficient number, since it is larger than the sum of its proper divisors (71082069).

135317931 is a wasteful number, since it uses less digits than its factorization.

135317931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298.

The product of its digits is 8505, while the sum is 33.

The square root of 135317931 is about 11632.6235647854. The cubic root of 135317931 is about 513.3951752204.

The spelling of 135317931 in words is "one hundred thirty-five million, three hundred seventeen thousand, nine hundred thirty-one".