44100013 has 2 divisors, whose sum is σ = 44100014. Its totient is φ = 44100012.

The previous prime is 44099999. The next prime is 44100019. The reversal of 44100013 is 31000144.

44100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23687689 + 20412324 = 4867^2 + 4518^2 .

It is a cyclic number.

It is not a de Polignac number, because 44100013 - 2⁹ = 44099501 is a prime.

It is a super-2 number, since 2×44100013² = 3889622293200338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44099966 and 44100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (44100019) 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, 22050006 + 22050007.

It is an arithmetic number, because the mean of its divisors is an integer number (22050007).

Almost surely, 2^44100013 is an apocalyptic number.

It is an amenable number.

44100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

44100013 is an equidigital number, since it uses as much as digits as its factorization.

44100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 44100013 is about 6640.7840651538. The cubic root of 44100013 is about 353.3021165214.

Adding to 44100013 its reverse (31000144), we get a palindrome (75100157).

The spelling of 44100013 in words is "forty-four million, one hundred thousand, thirteen".