13642101 has 40 divisors (see below), whose sum is σ = 22686048. Its totient is φ = 8100000.

The previous prime is 13642091. The next prime is 13642103. The reversal of 13642101 is 10124631.

It is a happy number.

13642101 is a `hidden beast` number, since 13 + 642 + 10 + 1 = 666.

It is not a de Polignac number, because 13642101 - 2⁶ = 13642037 is a prime.

It is a super-2 number, since 2×13642101² = 372213839388402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54226 + ... + 54476.

Almost surely, 2^13642101 is an apocalyptic number.

13642101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13642101 is a deficient number, since it is larger than the sum of its proper divisors (9043947).

13642101 is a wasteful number, since it uses less digits than its factorization.

13642101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13642101 is about 3693.5214903937. The cubic root of 13642101 is about 238.9426926785.

Adding to 13642101 its reverse (10124631), we get a palindrome (23766732).

The spelling of 13642101 in words is "thirteen million, six hundred forty-two thousand, one hundred one".