13113220120013 has 4 divisors (see below), whose sum is σ = 14121929360028. Its totient is φ = 12104510880000.

The previous prime is 13113220120003. The next prime is 13113220120027. The reversal of 13113220120013 is 31002102231131.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2639724826729 + 10473495293284 = 1624723^2 + 3236278^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113220120013 - 2⁸ = 13113220119757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113220120003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504354619988 + ... + 504354620013.

It is an arithmetic number, because the mean of its divisors is an integer number (3530482340007).

Almost surely, 2^{13113220120013} is an apocalyptic number.

13113220120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13113220120013 is a deficient number, since it is larger than the sum of its proper divisors (1008709240015).

13113220120013 is a wasteful number, since it uses less digits than its factorization.

13113220120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008709240014.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13113220120013 its reverse (31002102231131), we get a palindrome (44115322351144).

The spelling of 13113220120013 in words is "thirteen trillion, one hundred thirteen billion, two hundred twenty million, one hundred twenty thousand, thirteen".