100444034014013 has 2 divisors, whose sum is σ = 100444034014014. Its totient is φ = 100444034014012.

The previous prime is 100444034013979. The next prime is 100444034014061. The reversal of 100444034014013 is 310410430444001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65359107912004 + 35084926102009 = 8084498^2 + 5923253^2 .

It is a cyclic number.

It is not a de Polignac number, because 100444034014013 - 2¹⁰ = 100444034012989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100444034014063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50222017007006 + 50222017007007.

It is an arithmetic number, because the mean of its divisors is an integer number (50222017007007).

Almost surely, 2^{100444034014013} is an apocalyptic number.

It is an amenable number.

100444034014013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100444034014013 is an equidigital number, since it uses as much as digits as its factorization.

100444034014013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 100444034014013 its reverse (310410430444001), we get a palindrome (410854464458014).

The spelling of 100444034014013 in words is "one hundred trillion, four hundred forty-four billion, thirty-four million, fourteen thousand, thirteen".