1100103033013 has 16 divisors (see below), whose sum is σ = 1138308103296. Its totient is φ = 1062447471360.

The previous prime is 1100103032983. The next prime is 1100103033031. The reversal of 1100103033013 is 3103303010011.

It is not a de Polignac number, because 1100103033013 - 2⁵ = 1100103032981 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 (1100103034013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11383545 + ... + 11479777.

It is an arithmetic number, because the mean of its divisors is an integer number (71144256456).

Almost surely, 2^{1100103033013} is an apocalyptic number.

It is an amenable number.

1100103033013 is a deficient number, since it is larger than the sum of its proper divisors (38205070283).

1100103033013 is a wasteful number, since it uses less digits than its factorization.

1100103033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99084.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1100103033013 its reverse (3103303010011), we get a palindrome (4203406043024).

The spelling of 1100103033013 in words is "one trillion, one hundred billion, one hundred three million, thirty-three thousand, thirteen".