135315442040031 has 96 divisors (see below), whose sum is σ = 227803696952832. Its totient is φ = 76574217646080.

The previous prime is 135315442040029. The next prime is 135315442040039. The reversal of 135315442040031 is 130040244513531.

135315442040031 is a `hidden beast` number, since 1 + 3 + 53 + 1 + 544 + 20 + 40 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 135315442040031 - 2¹ = 135315442040029 is a prime.

It is a super-2 number, since 2×135315442040031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135315442040039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165747771 + ... + 166562163.

It is an arithmetic number, because the mean of its divisors is an integer number (2372955176592).

Almost surely, 2^{135315442040031} is an apocalyptic number.

135315442040031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135315442040031 is a deficient number, since it is larger than the sum of its proper divisors (92488254912801).

135315442040031 is a wasteful number, since it uses less digits than its factorization.

135315442040031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816173 (or 816170 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 135315442040031 its reverse (130040244513531), we get a palindrome (265355686553562).

The spelling of 135315442040031 in words is "one hundred thirty-five trillion, three hundred fifteen billion, four hundred forty-two million, forty thousand, thirty-one".