1100013100009 has 2 divisors, whose sum is σ = 1100013100010. Its totient is φ = 1100013100008.

The previous prime is 1100013099967. The next prime is 1100013100051. The reversal of 1100013100009 is 9000013100011.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1100013099967) and next prime (1100013100051).

It can be written as a sum of positive squares in only one way, i.e., 950630850009 + 149382250000 = 975003^2 + 386500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100013100009 - 2³⁹ = 550257286121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100013099965 and 1100013100001.

It is not a weakly prime, because it can be changed into another prime (1100013160009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550006550004 + 550006550005.

It is an arithmetic number, because the mean of its divisors is an integer number (550006550005).

Almost surely, 2^{1100013100009} is an apocalyptic number.

It is an amenable number.

1100013100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100013100009 is an equidigital number, since it uses as much as digits as its factorization.

1100013100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 1100013100009 in words is "one trillion, one hundred billion, thirteen million, one hundred thousand, nine".