135312114031 has 16 divisors (see below), whose sum is σ = 140741837280. Its totient is φ = 129985914240.

The previous prime is 135312114029. The next prime is 135312114053. The reversal of 135312114031 is 130411213531.

It is a cyclic number.

It is not a de Polignac number, because 135312114031 - 2¹ = 135312114029 is a prime.

It is a super-2 number, since 2×135312114031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135312113987 and 135312114005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135312114011) 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 15 ways as a sum of consecutive naturals, for example, 884005 + ... + 1025713.

It is an arithmetic number, because the mean of its divisors is an integer number (8796364830).

Almost surely, 2^135312114031 is an apocalyptic number.

135312114031 is a deficient number, since it is larger than the sum of its proper divisors (5429723249).

135312114031 is a wasteful number, since it uses less digits than its factorization.

135312114031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142074.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 135312114031 its reverse (130411213531), we get a palindrome (265723327562).

The spelling of 135312114031 in words is "one hundred thirty-five billion, three hundred twelve million, one hundred fourteen thousand, thirty-one".