64013101 has 2 divisors, whose sum is σ = 64013102. Its totient is φ = 64013100.

The previous prime is 64013099. The next prime is 64013119. The reversal of 64013101 is 10131046.

64013101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35390601 + 28622500 = 5949^2 + 5350^2 .

It is a cyclic number.

It is not a de Polignac number, because 64013101 - 2¹ = 64013099 is a prime.

Together with 64013099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64017101) 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, 32006550 + 32006551.

It is an arithmetic number, because the mean of its divisors is an integer number (32006551).

Almost surely, 2^64013101 is an apocalyptic number.

It is an amenable number.

64013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

64013101 is an equidigital number, since it uses as much as digits as its factorization.

64013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 64013101 is about 8000.8187706009. The cubic root of 64013101 is about 400.0272918878.

Adding to 64013101 its reverse (10131046), we get a palindrome (74144147).

The spelling of 64013101 in words is "sixty-four million, thirteen thousand, one hundred one".