11031300313011 has 48 divisors (see below), whose sum is σ = 17945926023168. Its totient is φ = 6470885966400.

The previous prime is 11031300313009. The next prime is 11031300313013.

11031300313011 is a `hidden beast` number, since 1 + 1 + 0 + 31 + 300 + 31 + 301 + 1 = 666.

11031300313011 is nontrivially palindromic in base 10.

11031300313011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11031300313009) and next prime (11031300313013).

It is not a de Polignac number, because 11031300313011 - 2¹ = 11031300313009 is a prime.

It is a super-2 number, since 2×11031300313011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11031300313013) 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, 7184001 + ... + 8583266.

It is an arithmetic number, because the mean of its divisors is an integer number (373873458816).

Almost surely, 2^{11031300313011} is an apocalyptic number.

11031300313011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11031300313011 is a deficient number, since it is larger than the sum of its proper divisors (6914625710157).

11031300313011 is a wasteful number, since it uses less digits than its factorization.

11031300313011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15767512 (or 15767509 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, 11031300 and 313011, that added together give a palindrome (11344311).

The spelling of 11031300313011 in words is "eleven trillion, thirty-one billion, three hundred million, three hundred thirteen thousand, eleven".