1100101010013 has 48 divisors (see below), whose sum is σ = 1607840193024. Its totient is φ = 724784280480.

The previous prime is 1100101010011. The next prime is 1100101010083. The reversal of 1100101010013 is 3100101010011.

It is not a de Polignac number, because 1100101010013 - 2¹ = 1100101010011 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100101009977 and 1100101010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202110270 + ... + 202115712.

It is an arithmetic number, because the mean of its divisors is an integer number (33496670688).

Almost surely, 2^{1100101010013} is an apocalyptic number.

It is an amenable number.

1100101010013 is a deficient number, since it is larger than the sum of its proper divisors (507739183011).

1100101010013 is a wasteful number, since it uses less digits than its factorization.

1100101010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6363 counting only the distinct ones).

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

Adding to 1100101010013 its reverse (3100101010011), we get a palindrome (4200202020024).

The spelling of 1100101010013 in words is "one trillion, one hundred billion, one hundred one million, ten thousand, thirteen".