10011100011013 has 2 divisors, whose sum is σ = 10011100011014. Its totient is φ = 10011100011012.

The previous prime is 10011100011007. The next prime is 10011100011019. The reversal of 10011100011013 is 31011000111001.

It is a balanced prime because it is at equal distance from previous prime (10011100011007) and next prime (10011100011019).

It can be written as a sum of positive squares in only one way, i.e., 9934303408129 + 76796602884 = 3151873^2 + 277122^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011100011013 - 2⁵ = 10011100010981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011100011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005550005506 + 5005550005507.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550005507).

Almost surely, 2^{10011100011013} is an apocalyptic number.

It is an amenable number.

10011100011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011100011013 is an equidigital number, since it uses as much as digits as its factorization.

10011100011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10011100011013 its reverse (31011000111001), we get a palindrome (41022100122014).

The spelling of 10011100011013 in words is "ten trillion, eleven billion, one hundred million, eleven thousand, thirteen".