1100013100011 has 48 divisors (see below), whose sum is σ = 1854692632000. Its totient is φ = 627989023872.

The previous prime is 1100013100009. The next prime is 1100013100051.

1100013100011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100013100011 - 2¹ = 1100013100009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100013099966 and 1100013100002.

It is not an unprimeable number, because it can be changed into a prime (1100013100051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133335 + ... + 3466671.

Almost surely, 2^{1100013100011} is an apocalyptic number.

1100013100011 is a deficient number, since it is larger than the sum of its proper divisors (754679531989).

1100013100011 is a wasteful number, since it uses less digits than its factorization.

1100013100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334433 (or 334416 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The spelling of 1100013100011 in words is "one trillion, one hundred billion, thirteen million, one hundred thousand, eleven".