1033011122011 has 16 divisors (see below), whose sum is σ = 1148375436768. Its totient is φ = 921228422400.

The previous prime is 1033011121939. The next prime is 1033011122071. The reversal of 1033011122011 is 1102211103301.

It is a happy number.

It is not a de Polignac number, because 1033011122011 - 2¹¹ = 1033011119963 is a prime.

It is a super-2 number, since 2×1033011122011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1033011122071) 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 15 ways as a sum of consecutive naturals, for example, 3423805 + ... + 3713281.

It is an arithmetic number, because the mean of its divisors is an integer number (71773464798).

Almost surely, 2^{1033011122011} is an apocalyptic number.

1033011122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1033011122011 is a deficient number, since it is larger than the sum of its proper divisors (115364314757).

1033011122011 is a wasteful number, since it uses less digits than its factorization.

1033011122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295662.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1033011122011 its reverse (1102211103301), we get a palindrome (2135222225312).

The spelling of 1033011122011 in words is "one trillion, thirty-three billion, eleven million, one hundred twenty-two thousand, eleven".