13135533101 has 16 divisors (see below), whose sum is σ = 13354008624. Its totient is φ = 12919517184.

The previous prime is 13135533097. The next prime is 13135533161. The reversal of 13135533101 is 10133553131.

It can be written as a sum of positive squares in 8 ways, for example, as 165739876 + 12969793225 = 12874^2 + 113885^2 .

It is a cyclic number.

It is not a de Polignac number, because 13135533101 - 2² = 13135533097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135533161) 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, 6576635 + ... + 6578631.

It is an arithmetic number, because the mean of its divisors is an integer number (834625539).

Almost surely, 2^13135533101 is an apocalyptic number.

It is an amenable number.

13135533101 is a deficient number, since it is larger than the sum of its proper divisors (218475523).

13135533101 is a wasteful number, since it uses less digits than its factorization.

13135533101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560.

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

The spelling of 13135533101 in words is "thirteen billion, one hundred thirty-five million, five hundred thirty-three thousand, one hundred one".