13111033333113 has 12 divisors (see below), whose sum is σ = 20052168627348. Its totient is φ = 8226530718720.

The previous prime is 13111033333103. The next prime is 13111033333117. The reversal of 13111033333113 is 31133333011131.

13111033333113 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 10 + 3 + 333 + 311 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7634815555689 + 5476217777424 = 2763117^2 + 2340132^2 .

It is not a de Polignac number, because 13111033333113 - 2¹⁷ = 13111033202041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13111033333117) 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, 42846514008 + ... + 42846514313.

It is an arithmetic number, because the mean of its divisors is an integer number (1671014052279).

Almost surely, 2^{13111033333113} is an apocalyptic number.

It is an amenable number.

13111033333113 is a deficient number, since it is larger than the sum of its proper divisors (6941135294235).

13111033333113 is a wasteful number, since it uses less digits than its factorization.

13111033333113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85693028344 (or 85693028341 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 13111033333113 its reverse (31133333011131), we get a palindrome (44244366344244).

The spelling of 13111033333113 in words is "thirteen trillion, one hundred eleven billion, thirty-three million, three hundred thirty-three thousand, one hundred thirteen".