11033031031 has 32 divisors (see below), whose sum is σ = 12525613056. Its totient is φ = 9631440000.

The previous prime is 11033031029. The next prime is 11033031077. The reversal of 11033031031 is 13013033011.

It is a cyclic number.

It is not a de Polignac number, because 11033031031 - 2¹ = 11033031029 is a prime.

It is a super-2 number, since 2×11033031031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11033030996 and 11033031014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013031031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7499626 + ... + 7501096.

It is an arithmetic number, because the mean of its divisors is an integer number (391425408).

Almost surely, 2^11033031031 is an apocalyptic number.

11033031031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11033031031 is a deficient number, since it is larger than the sum of its proper divisors (1492582025).

11033031031 is a wasteful number, since it uses less digits than its factorization.

11033031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11033031031 its reverse (13013033011), we get a palindrome (24046064042).

The spelling of 11033031031 in words is "eleven billion, thirty-three million, thirty-one thousand, thirty-one".