135313053141 has 32 divisors (see below), whose sum is σ = 217458826240. Its totient is φ = 73112004864.

The previous prime is 135313053131. The next prime is 135313053209. The reversal of 135313053141 is 141350313531.

It is not a de Polignac number, because 135313053141 - 2⁶ = 135313053077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135313053099 and 135313053108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313053131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115540 + ... + 532893.

It is an arithmetic number, because the mean of its divisors is an integer number (6795588320).

Almost surely, 2^135313053141 is an apocalyptic number.

It is an amenable number.

135313053141 is a deficient number, since it is larger than the sum of its proper divisors (82145773099).

135313053141 is a wasteful number, since it uses less digits than its factorization.

135313053141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648985.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 135313053141 its reverse (141350313531), we get a palindrome (276663366672).

The spelling of 135313053141 in words is "one hundred thirty-five billion, three hundred thirteen million, fifty-three thousand, one hundred forty-one".