13606435311201 has 32 divisors (see below), whose sum is σ = 20201579798400. Its totient is φ = 9051220316160.

The previous prime is 13606435311143. The next prime is 13606435311211. The reversal of 13606435311201 is 10211353460631.

13606435311201 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 6 + 435 + 3 + 11 + 201 = 666.

It is not a de Polignac number, because 13606435311201 - 2¹⁵ = 13606435278433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13606435311211) 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, 27916885 + ... + 28400093.

It is an arithmetic number, because the mean of its divisors is an integer number (631299368700).

Almost surely, 2^{13606435311201} is an apocalyptic number.

It is an amenable number.

13606435311201 is a deficient number, since it is larger than the sum of its proper divisors (6595144487199).

13606435311201 is a wasteful number, since it uses less digits than its factorization.

13606435311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485486 (or 485480 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 13606435311201 its reverse (10211353460631), we get a palindrome (23817788771832).

The spelling of 13606435311201 in words is "thirteen trillion, six hundred six billion, four hundred thirty-five million, three hundred eleven thousand, two hundred one".