135310707013531 has 16 divisors (see below), whose sum is σ = 156188849197248. Its totient is φ = 114819824304000.

The previous prime is 135310707013513. The next prime is 135310707013541.

It is a happy number.

135310707013531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135310707013531 - 2⁵ = 135310707013499 is a prime.

It is a super-2 number, since 2×135310707013531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135310707013541) 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, 3858540 + ... + 16897033.

It is an arithmetic number, because the mean of its divisors is an integer number (9761803074828).

Almost surely, 2^{135310707013531} is an apocalyptic number.

135310707013531 is a deficient number, since it is larger than the sum of its proper divisors (20878142183717).

135310707013531 is a wasteful number, since it uses less digits than its factorization.

135310707013531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20764902.

The product of its (nonzero) digits is 99225, while the sum is 40.

The spelling of 135310707013531 in words is "one hundred thirty-five trillion, three hundred ten billion, seven hundred seven million, thirteen thousand, five hundred thirty-one".