11041300314011 has 16 divisors (see below), whose sum is σ = 12061484602368. Its totient is φ = 10023857956800.

The previous prime is 11041300313941. The next prime is 11041300314043.

11041300314011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11041300314011 - 2¹⁸ = 11041300051867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11041300314061) 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, 63202295 + ... + 63376751.

It is an arithmetic number, because the mean of its divisors is an integer number (753842787648).

Almost surely, 2^{11041300314011} is an apocalyptic number.

11041300314011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11041300314011 is a deficient number, since it is larger than the sum of its proper divisors (1020184288357).

11041300314011 is a wasteful number, since it uses less digits than its factorization.

11041300314011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182282.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 11041300 and 314011, that added together give a palindrome (11355311).

The spelling of 11041300314011 in words is "eleven trillion, forty-one billion, three hundred million, three hundred fourteen thousand, eleven".