13101130221011 has 16 divisors (see below), whose sum is σ = 15864485713920. Its totient is φ = 10561634194560.

The previous prime is 13101130220963. The next prime is 13101130221031. The reversal of 13101130221011 is 11012203110131.

It is not a de Polignac number, because 13101130221011 - 2³⁰ = 13100056479187 is a prime.

It is a super-2 number, since 2×13101130221011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101130221031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38082245 + ... + 38424726.

It is an arithmetic number, because the mean of its divisors is an integer number (991530357120).

Almost surely, 2^{13101130221011} is an apocalyptic number.

13101130221011 is a deficient number, since it is larger than the sum of its proper divisors (2763355492909).

13101130221011 is a wasteful number, since it uses less digits than its factorization.

13101130221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76508434.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13101130221011 its reverse (11012203110131), we get a palindrome (24113333331142).

The spelling of 13101130221011 in words is "thirteen trillion, one hundred one billion, one hundred thirty million, two hundred twenty-one thousand, eleven".