13101331100013 has 48 divisors (see below), whose sum is σ = 20471974059264. Its totient is φ = 8025961541760.

The previous prime is 13101331099951. The next prime is 13101331100029. The reversal of 13101331100013 is 31000113310131.

13101331100013 is a `hidden beast` number, since 1 + 310 + 1 + 331 + 10 + 0 + 0 + 13 = 666.

It is not a de Polignac number, because 13101331100013 - 2¹⁷ = 13101330968941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101331100093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38290270 + ... + 38630912.

It is an arithmetic number, because the mean of its divisors is an integer number (426499459568).

Almost surely, 2^{13101331100013} is an apocalyptic number.

13101331100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13101331100013 is a deficient number, since it is larger than the sum of its proper divisors (7370642959251).

13101331100013 is a wasteful number, since it uses less digits than its factorization.

13101331100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342146 (or 342143 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13101331100013 its reverse (31000113310131), we get a palindrome (44101444410144).

The spelling of 13101331100013 in words is "thirteen trillion, one hundred one billion, three hundred thirty-one million, one hundred thousand, thirteen".