135301103531 has 32 divisors (see below), whose sum is σ = 157263482880. Its totient is φ = 115041139200.

The previous prime is 135301103503. The next prime is 135301103551.

135301103531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135301103531 - 2¹⁰ = 135301102507 is a prime.

It is a super-2 number, since 2×135301103531² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135301103531.

It is not an unprimeable number, because it can be changed into a prime (135301103551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66682625 + ... + 66684653.

It is an arithmetic number, because the mean of its divisors is an integer number (4914483840).

Almost surely, 2^135301103531 is an apocalyptic number.

135301103531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135301103531 is a deficient number, since it is larger than the sum of its proper divisors (21962379349).

135301103531 is a wasteful number, since it uses less digits than its factorization.

135301103531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115.

The product of its (nonzero) digits is 2025, while the sum is 26.

It can be divided in two parts, 135301 and 103531, that added together give a palindrome (238832).

The spelling of 135301103531 in words is "one hundred thirty-five billion, three hundred one million, one hundred three thousand, five hundred thirty-one".