1011100000013 has 12 divisors (see below), whose sum is σ = 1087015776000. Its totient is φ = 940158163392.

The previous prime is 1011100000007. The next prime is 1011100000039. The reversal of 1011100000013 is 3100000011101.

It is not a de Polignac number, because 1011100000013 - 2²⁰ = 1011098951437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100000093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21052013 + ... + 21099986.

It is an arithmetic number, because the mean of its divisors is an integer number (90584648000).

Almost surely, 2^{1011100000013} is an apocalyptic number.

It is an amenable number.

1011100000013 is a deficient number, since it is larger than the sum of its proper divisors (75915775987).

1011100000013 is an equidigital number, since it uses as much as digits as its factorization.

1011100000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42152116 (or 42152099 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1011100000013 its reverse (3100000011101), we get a palindrome (4111100011114).

The spelling of 1011100000013 in words is "one trillion, eleven billion, one hundred million, thirteen", and thus it is an aban number.