11103113100001 has 16 divisors (see below), whose sum is σ = 12173044712080. Its totient is φ = 10064564824320.

The previous prime is 11103113099963. The next prime is 11103113100019. The reversal of 11103113100001 is 10000131130111.

It can be written as a sum of positive squares in 8 ways, for example, as 4956184610001 + 6146928490000 = 2226249^2 + 2479300^2 .

It is a cyclic number.

It is not a de Polignac number, because 11103113100001 - 2⁷ = 11103113099873 is a prime.

It is a super-2 number, since 2×11103113100001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11103113100031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10934286 + ... + 11906503.

It is an arithmetic number, because the mean of its divisors is an integer number (760815294505).

Almost surely, 2^{11103113100001} is an apocalyptic number.

It is an amenable number.

11103113100001 is a deficient number, since it is larger than the sum of its proper divisors (1069931612079).

11103113100001 is a wasteful number, since it uses less digits than its factorization.

11103113100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22841476.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11103113100001 its reverse (10000131130111), we get a palindrome (21103244230112).

The spelling of 11103113100001 in words is "eleven trillion, one hundred three billion, one hundred thirteen million, one hundred thousand, one".