13113133133113 has 16 divisors (see below), whose sum is σ = 14470864664256. Its totient is φ = 11806066036800.

The previous prime is 13113133133047. The next prime is 13113133133153. The reversal of 13113133133113 is 31133133131131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13113133133113 - 2¹³ = 13113133124921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13113133133153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16340095 + ... + 17123812.

It is an arithmetic number, because the mean of its divisors is an integer number (904429041516).

Almost surely, 2^{13113133133113} is an apocalyptic number.

13113133133113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13113133133113 is a deficient number, since it is larger than the sum of its proper divisors (1357731531143).

13113133133113 is a wasteful number, since it uses less digits than its factorization.

13113133133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33464664.

The product of its digits is 2187, while the sum is 28.

Adding to 13113133133113 its reverse (31133133131131), we get a palindrome (44246266264244).

The spelling of 13113133133113 in words is "thirteen trillion, one hundred thirteen billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred thirteen".