1100300013011 has 16 divisors (see below), whose sum is σ = 1139319820800. Its totient is φ = 1061352700800.

The previous prime is 1100300012989. The next prime is 1100300013047. The reversal of 1100300013011 is 1103100030011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100300013011 - 2⁶ = 1100300012947 is a prime.

It is a super-2 number, since 2×1100300013011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100300012983 and 1100300013001.

It is not an unprimeable number, because it can be changed into a prime (1100300013611) 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, 209140121 + ... + 209145381.

It is an arithmetic number, because the mean of its divisors is an integer number (71207488800).

Almost surely, 2^{1100300013011} is an apocalyptic number.

1100300013011 is a deficient number, since it is larger than the sum of its proper divisors (39019807789).

1100300013011 is a wasteful number, since it uses less digits than its factorization.

1100300013011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1100300013011 its reverse (1103100030011), we get a palindrome (2203400043022).

The spelling of 1100300013011 in words is "one trillion, one hundred billion, three hundred million, thirteen thousand, eleven".