135313000313431 has 16 divisors (see below), whose sum is σ = 136858949347648. Its totient is φ = 133778055168000.

The previous prime is 135313000313399. The next prime is 135313000313437. The reversal of 135313000313431 is 134313000313531.

It is a cyclic number.

It is not a de Polignac number, because 135313000313431 - 2⁵ = 135313000313399 is a prime.

It is a super-2 number, since 2×135313000313431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135313000313393 and 135313000313402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313000313437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19665031 + ... + 25638631.

It is an arithmetic number, because the mean of its divisors is an integer number (8553684334228).

Almost surely, 2^{135313000313431} is an apocalyptic number.

135313000313431 is a deficient number, since it is larger than the sum of its proper divisors (1545949034217).

135313000313431 is a wasteful number, since it uses less digits than its factorization.

135313000313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974522.

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 135313000313431 its reverse (134313000313531), we get a palindrome (269626000626962).

The spelling of 135313000313431 in words is "one hundred thirty-five trillion, three hundred thirteen billion, three hundred thirteen thousand, four hundred thirty-one".