13101111202113 has 32 divisors (see below), whose sum is σ = 21173749142400. Its totient is φ = 7939978862400.

The previous prime is 13101111202103. The next prime is 13101111202139. The reversal of 13101111202113 is 31120211110131.

It is not a de Polignac number, because 13101111202113 - 2⁴ = 13101111202097 is a prime.

It is a super-2 number, since 2×13101111202113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13101111202103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34855803 + ... + 35229663.

It is an arithmetic number, because the mean of its divisors is an integer number (661679660700).

Almost surely, 2^{13101111202113} is an apocalyptic number.

It is an amenable number.

13101111202113 is a deficient number, since it is larger than the sum of its proper divisors (8072637940287).

13101111202113 is a wasteful number, since it uses less digits than its factorization.

13101111202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491870 (or 491864 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13101111202113 its reverse (31120211110131), we get a palindrome (44221322312244).

The spelling of 13101111202113 in words is "thirteen trillion, one hundred one billion, one hundred eleven million, two hundred two thousand, one hundred thirteen".