13101320120213 has 4 divisors (see below), whose sum is σ = 14109113975628. Its totient is φ = 12093526264800.

The previous prime is 13101320120201. The next prime is 13101320120219. The reversal of 13101320120213 is 31202102310131.

It is a happy number.

13101320120213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 6389686895089 + 6711633225124 = 2527783^2 + 2590682^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101320120213 - 2¹² = 13101320116117 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 (13101320120219) 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, 503896927688 + ... + 503896927713.

It is an arithmetic number, because the mean of its divisors is an integer number (3527278493907).

Almost surely, 2^{13101320120213} is an apocalyptic number.

13101320120213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13101320120213 is a deficient number, since it is larger than the sum of its proper divisors (1007793855415).

13101320120213 is a wasteful number, since it uses less digits than its factorization.

13101320120213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007793855414.

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

Adding to 13101320120213 its reverse (31202102310131), we get a palindrome (44303422430344).

The spelling of 13101320120213 in words is "thirteen trillion, one hundred one billion, three hundred twenty million, one hundred twenty thousand, two hundred thirteen".