11034034310311 has 64 divisors (see below), whose sum is σ = 12161371622400. Its totient is φ = 9969761894400.

The previous prime is 11034034310281. The next prime is 11034034310317. The reversal of 11034034310311 is 11301343043011.

It is a cyclic number.

It is not a de Polignac number, because 11034034310311 - 2⁷ = 11034034310183 is a prime.

It is a super-2 number, since 2×11034034310311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034034310317) 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 63 ways as a sum of consecutive naturals, for example, 12524442591 + ... + 12524443471.

It is an arithmetic number, because the mean of its divisors is an integer number (190021431600).

Almost surely, 2^{11034034310311} is an apocalyptic number.

11034034310311 is a deficient number, since it is larger than the sum of its proper divisors (1127337312089).

11034034310311 is a wasteful number, since it uses less digits than its factorization.

11034034310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11034034310311 its reverse (11301343043011), we get a palindrome (22335377353322).

The spelling of 11034034310311 in words is "eleven trillion, thirty-four billion, thirty-four million, three hundred ten thousand, three hundred eleven".