135413444314531 has 16 divisors (see below), whose sum is σ = 136815409324800. Its totient is φ = 134012689740000.

The previous prime is 135413444314481. The next prime is 135413444314537.

135413444314531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135413444314531 - 2⁹ = 135413444314019 is a prime.

It is a super-2 number, since 2×135413444314531² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135413444314537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4532045850 + ... + 4532075728.

It is an arithmetic number, because the mean of its divisors is an integer number (8550963082800).

Almost surely, 2^{135413444314531} is an apocalyptic number.

135413444314531 is a deficient number, since it is larger than the sum of its proper divisors (1401965010269).

135413444314531 is a wasteful number, since it uses less digits than its factorization.

135413444314531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48570.

The product of its digits is 2073600, while the sum is 46.

The spelling of 135413444314531 in words is "one hundred thirty-five trillion, four hundred thirteen billion, four hundred forty-four million, three hundred fourteen thousand, five hundred thirty-one".