135005031 has 24 divisors (see below), whose sum is σ = 230057984. Its totient is φ = 74656080.

The previous prime is 135005021. The next prime is 135005053. The reversal of 135005031 is 130500531.

It is a happy number.

It is not a de Polignac number, because 135005031 - 2⁶ = 135004967 is a prime.

It is a super-3 number, since 3×135005031³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135004995 and 135005013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135005021) 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, 32611 + ... + 36516.

Almost surely, 2^135005031 is an apocalyptic number.

135005031 is a deficient number, since it is larger than the sum of its proper divisors (95052953).

135005031 is a wasteful number, since it uses less digits than its factorization.

135005031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69171 (or 69168 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 135005031 is about 11619.1665363743. The cubic root of 135005031 is about 512.9991564342. Note that the first 3 decimals are identical.

Adding to 135005031 its reverse (130500531), we get a palindrome (265505562).

The spelling of 135005031 in words is "one hundred thirty-five million, five thousand, thirty-one".