135313523 has 8 divisors (see below), whose sum is σ = 143437392. Its totient is φ = 127207936.

The previous prime is 135313511. The next prime is 135313559. The reversal of 135313523 is 325313531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135313523 - 2¹⁴ = 135297139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135313492 and 135313501.

It is not an unprimeable number, because it can be changed into a prime (135313723) 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 7 ways as a sum of consecutive naturals, for example, 12536 + ... + 20682.

It is an arithmetic number, because the mean of its divisors is an integer number (17929674).

Almost surely, 2^135313523 is an apocalyptic number.

135313523 is a deficient number, since it is larger than the sum of its proper divisors (8123869).

135313523 is an equidigital number, since it uses as much as digits as its factorization.

135313523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141.

The product of its digits is 4050, while the sum is 26.

The square root of 135313523 is about 11632.4340960953. The cubic root of 135313523 is about 513.3896005207.

It can be divided in two parts, 1353135 and 23, that multiplied together give a triangular number (31122105 = T₇₈₈₉).

The spelling of 135313523 in words is "one hundred thirty-five million, three hundred thirteen thousand, five hundred twenty-three".