2013600101 has 2 divisors, whose sum is σ = 2013600102. Its totient is φ = 2013600100.

The previous prime is 2013600079. The next prime is 2013600103. The reversal of 2013600101 is 1010063102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1564202500 + 449397601 = 39550^2 + 21199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013600101 is a prime.

Together with 2013600103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013600103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006800050 + 1006800051.

It is an arithmetic number, because the mean of its divisors is an integer number (1006800051).

Almost surely, 2^2013600101 is an apocalyptic number.

It is an amenable number.

2013600101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013600101 is an equidigital number, since it uses as much as digits as its factorization.

2013600101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2013600101 is about 44873.1556835487. The cubic root of 2013600101 is about 1262.7704432040.

Adding to 2013600101 its reverse (1010063102), we get a palindrome (3023663203).

The spelling of 2013600101 in words is "two billion, thirteen million, six hundred thousand, one hundred one".