135321123531 has 64 divisors (see below), whose sum is σ = 210514406400. Its totient is φ = 76531392000.

The previous prime is 135321123503. The next prime is 135321123559.

135321123531 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (135321123503) and next prime (135321123559).

It is not a de Polignac number, because 135321123531 - 2¹⁵ = 135321090763 is a prime.

It is a super-2 number, since 2×135321123531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135321173531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5334105 + ... + 5359413.

It is an arithmetic number, because the mean of its divisors is an integer number (3289287600).

Almost surely, 2^135321123531 is an apocalyptic number.

135321123531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135321123531 is a deficient number, since it is larger than the sum of its proper divisors (75193282869).

135321123531 is a wasteful number, since it uses less digits than its factorization.

135321123531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25540.

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

It can be divided in two parts, 135321 and 123531, that added together give a palindrome (258852).

The spelling of 135321123531 in words is "one hundred thirty-five billion, three hundred twenty-one million, one hundred twenty-three thousand, five hundred thirty-one".