13735500113 has 8 divisors (see below), whose sum is σ = 13971683880. Its totient is φ = 13499671680.

The previous prime is 13735500091. The next prime is 13735500137. The reversal of 13735500113 is 31100553731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13017664 + 13722482449 = 3608^2 + 117143^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13735500113 - 2¹⁶ = 13735434577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13735580113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10268 + ... + 166061.

It is an arithmetic number, because the mean of its divisors is an integer number (1746460485).

Almost surely, 2^13735500113 is an apocalyptic number.

It is an amenable number.

13735500113 is a deficient number, since it is larger than the sum of its proper divisors (236183767).

13735500113 is a wasteful number, since it uses less digits than its factorization.

13735500113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177667.

The product of its (nonzero) digits is 4725, while the sum is 29.

The spelling of 13735500113 in words is "thirteen billion, seven hundred thirty-five million, five hundred thousand, one hundred thirteen".