100111111011013 has 2 divisors, whose sum is σ = 100111111011014. Its totient is φ = 100111111011012.

The previous prime is 100111111010987. The next prime is 100111111011083. The reversal of 100111111011013 is 310110111111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99536877451489 + 574233559524 = 9976817^2 + 757782^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111111011013 - 2²⁵ = 100111077456581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111111010984 and 100111111011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111111011083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055555505506 + 50055555505507.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555505507).

Almost surely, 2^{100111111011013} is an apocalyptic number.

It is an amenable number.

100111111011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111111011013 is an equidigital number, since it uses as much as digits as its factorization.

100111111011013 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 13.

Adding to 100111111011013 its reverse (310110111111001), we get a palindrome (410221222122014).

The spelling of 100111111011013 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, thirteen".