11011003331131 has 12 divisors (see below), whose sum is σ = 11404023367464. Its totient is φ = 10631092136000.

The previous prime is 11011003331063. The next prime is 11011003331177. The reversal of 11011003331131 is 13113330011011.

It is not a de Polignac number, because 11011003331131 - 2³³ = 11002413396539 is a prime.

It is a super-2 number, since 2×11011003331131² (a number of 27 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 = 11011003331099 and 11011003331108.

It is not an unprimeable number, because it can be changed into a prime (11011003335131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52205796 + ... + 52416286.

It is an arithmetic number, because the mean of its divisors is an integer number (950335280622).

Almost surely, 2^{11011003331131} is an apocalyptic number.

11011003331131 is a deficient number, since it is larger than the sum of its proper divisors (393020036333).

11011003331131 is an equidigital number, since it uses as much as digits as its factorization.

11011003331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272750 (or 272721 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 11011003331131 its reverse (13113330011011), we get a palindrome (24124333342142).

The spelling of 11011003331131 in words is "eleven trillion, eleven billion, three million, three hundred thirty-one thousand, one hundred thirty-one".