11013300331011 has 48 divisors (see below), whose sum is σ = 17825265139968. Its totient is φ = 6493622990400.

The previous prime is 11013300330959. The next prime is 11013300331037.

11013300331011 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 330 + 0 + 331 + 0 + 1 + 1 = 666.

11013300331011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11013300331011 - 2¹¹ = 11013300328963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11013300331091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34518826 + ... + 34836416.

It is an arithmetic number, because the mean of its divisors is an integer number (371359690416).

Almost surely, 2^{11013300331011} is an apocalyptic number.

11013300331011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11013300331011 is a deficient number, since it is larger than the sum of its proper divisors (6811964808957).

11013300331011 is a wasteful number, since it uses less digits than its factorization.

11013300331011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327112 (or 327109 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 11013300 and 331011, that added together give a palindrome (11344311).

The spelling of 11013300331011 in words is "eleven trillion, thirteen billion, three hundred million, three hundred thirty-one thousand, eleven".