13111002011233 has 12 divisors (see below), whose sum is σ = 15663778466772. Its totient is φ = 10934271946080.

The previous prime is 13111002011213. The next prime is 13111002011273. The reversal of 13111002011233 is 33211020011131.

13111002011233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5779297736289 + 7331704274944 = 2404017^2 + 2707712^2 .

It is not a de Polignac number, because 13111002011233 - 2⁴¹ = 10911978755681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13111002011233.

It is not an unprimeable number, because it can be changed into a prime (13111002011203) 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, 3615828858 + ... + 3615832483.

It is an arithmetic number, because the mean of its divisors is an integer number (1305314872231).

Almost surely, 2^{13111002011233} is an apocalyptic number.

It is an amenable number.

13111002011233 is a deficient number, since it is larger than the sum of its proper divisors (2552776455539).

13111002011233 is an equidigital number, since it uses as much as digits as its factorization.

13111002011233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231661392 (or 7231661385 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13111002011233 its reverse (33211020011131), we get a palindrome (46322022022364).

The spelling of 13111002011233 in words is "thirteen trillion, one hundred eleven billion, two million, eleven thousand, two hundred thirty-three".